Factor of 1331

Factor of 1331 DEFAULT

Factors of 1331

What are the factors of 1331?

These are the integers which can be evenly divided into 1331; they can be expressed as either individual factors or as factor pairs. In this case, we present them both ways. This is mathematical decomposition of a particular number. While usually a positive integer, take note of the comments below about negative numbers.

What is the prime factorization of 1331?

A prime factorization is the result of factoring a number into a set of components which every member is a prime number. This is generally written by showing 1331 as a product of its prime factors. For 1331, this result would be:

1331 = 11 x 11 x 11

(this is also known as the prime factorisation; the smallest prime number in this series is described as the smallest prime factor)

Is 1331 a composite number?

Yes! 1331 is a composite number. It is the product of two positive numbers other than 1 and itself.

Is 1331 a square number?

No! 1331 is not a square number. The square root of this number (36.48) is not an integer.

How many factors does 1331 have?

This number has 4 factors: 1, 11, 121, 1331

More specifically, shown as pairs...

(1*1331) (11*121) (121*11) (1331*1)

What is the greatest common factor of 1331 and another number?

The greatest common factor of two numbers can be determined by comparing the prime factorization (factorisation in some texts) of the two numbers and taking the highest common prime factor. If there is no common factor, the gcf is 1. This is also referred to as a highest common factor and is part of the common prime factors of two numbers. It is the largest factor (largest number) the two numbers share as a prime factor. The least common factor (smallest number in common) of any pair of integers is 1.

How can you find the least common mulitiple of 1331 and another number?

We have a least common multiple calculator here The solution is the lowest common multiple of two numbers.

What is a factor tree

A factor tree is a graphic representation of the possible factors of a numbers and their sub-factors. It is designed to simplify factorization. It is created by finding the factors of a number, then finding the factors of the factors of a number. The process continues recursively until you've derived a bunch of prime factors, which is the the prime factorization of the original number. In constructing the tree, be sure to remember the second item in a factor pair.

How do you find the factors of negative numbers? (eg. -1331)

To find the factors of -1331, find all the positive factors (see above) and then duplicate them by adding a minus sign before each one (effectively multiplying them by -1). This addresses negative factors. (handling negative integers)

Is 1331 a whole number?

Yes.

What are the divisibility rules?

Divisibility refers to a given integer number being divisible for a given divisor. The divisibility rule are a shorthand system to determined what is or isn't divisible. This includes rules about odd number and even number factors. This example is intended to allow the student to estimate the status of a given number without computation.

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Factors of 1331

Factors of 1331 are numbers that, when multiplied in pairs give the product as 1331. There are overall 4 factors of 1331 i.e. 1, 11, 121, 1331 where 1331 is the biggest factor. The sum of all factors of 1331 is 1464 and its factors in Pairs are (1, 1331), (11, 121).

  • All Factors of 1331: 1, 11, 121 and 1331
  • Negative Factors of 1331: -1, -11, -121 and -1331
  • Prime Factors of 1331: 11
  • Prime Factorization of 1331: 113
  • Sum of Factors of 1331: 1464
Factors of 1331

What are Factors of 1331?

Factors of 1331 are pairs of those numbers whose products result in 1331. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1331?

To find the factors of 1331, we will have to find the list of numbers that would divide 1331 without leaving any remainder.

  • 1331/11 = 121; therefore, 11 is a factor of 1331 and 121 is also a factor of 1331.
  • 1331/1 = 1331; therefore, 1 is a factor of 1331 and 1331 is also a factor of 1331.
Similarly we can find other factors. Hence, the factors of 1331 are 1, 11, 121, 1331.

☛ Also Check:

  • Factors of 10 - The factors of 10 are 1, 2, 5, 10
  • Factors of 50 - The factors of 50 are 1, 2, 5, 10, 25, 50
  • Factors of 96 - The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
  • Factors of 21 - The factors of 21 are 1, 3, 7, 21
  • Factors of 90 - The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Factors of 1331 by Prime Factorization

The number 1331 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1331. The first step is to divide the number 1331 with the smallest prime factor, here it is 11. We keep dividing until it gives a non-zero remainder.
  • 1331 ÷ 11 = 121
  • 121 ÷ 11 = 11
  • 11 ÷ 11 = 1

Further dividing 1 by 11 gives a non-zero remainder. So we stop the process and continue dividing the number 1 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.

Since, we can't divide any further in this case so we stop.

So, the prime factorization of 1331 is 113.

Factors of 1331 in Pairs

Pair factors of 1331 are the pairs of numbers that when multiplied give the product 1331. The factors of 1331 in pairs are:

  • 1 × 1331 = (1, 1331)
  • 11 × 121 = (11, 121)

Negative pair factors of 1331 are:

  • -1 × -1331 = (-1, -1331)
  • -11 × -121 = (-11, -121)

NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.

Factors of 1331 Solved Examples

  1. Example 1: How many factors are there for 1331?

    Solution:

    The factors of 1331 are 1, 11, 121, 1331. Therefore, 1331 has 4 factors.

  2. Example 2: Find the Least Common Multiple and Greatest Common Factor (GCF) of 1331 and 148.

    Solution:

    The factors of 1331 are 1, 11, 121, 1331 and factors of 148 are 1, 2, 4, 37, 74, 148.

    Therefore, the Least Common Multiple of 1331 and 148 is 196988 and Greatest Common Factor (GCF) of 1331 and 148 is 1.

  3. Example 3: Find if 11, 121 and 143 are factors of 1331.

    Solution:

    When we divide 1331 by 143 it leaves a remainder. Therefore, the number 143 is not a factor of 1331. All numbers except 143 are factors of 1331.

  4. Example 4: Find the product of all the prime factors of 1331.

    Solution:

    Since, the prime factor of 1331 is 11. Therefore, the product of prime factors = 11.

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FAQs on Factors of 1331

What are the Factors of 1331?

The factors of 1331 are 1, 11, 121, 1331 and its negative factors are -1, -11, -121, -1331.

What is the Sum of the Factors of 1331?

Since, all factors of 1331 are 1, 11, 121, 1331 therefore, the sum of its factors is 1 + 11 + 121 + 1331 = 1464.

What are the Pair Factors of 1331?

The pair factors of 1331 are (1, 1331), (11, 121).

What is the Greatest Common Factor of 1331 and 1309?

The factors of 1331 and 1309 are 1, 11, 121, 1331 and 1, 7, 11, 17, 77, 119, 187, 1309 respectively.

Common factors of 1331 and 1309 are [1, 11].

Hence, the Greatest Common Factor of 1331 and 1309 is 11.

How Many Factors of 1285 are also common to the Factors of 1331?

Since, the factors of 1331 are 1, 11, 121, 1331 and factors of 1285 are 1, 5, 257, 1285. Hence, 1331 and 1285 have only one common factor which is 1. Therefore, 1331 and 1285 are co-prime.

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1331 is the third row of Pascal’s triangle. What does that mean?
It means that 11³ = 1331,
and it means that 1 + 3 + 3 + 1 = 8 = 2³
Those third powers are not a coincidence.

It means that (x + y)³ = 1x³yº + 3x²y¹ + 3x¹y² + 1xºy³ or written more simply,
(x + y)³ = x³ + 3x²y¹ + 3x¹y² + y³

Likewise, (x – y)³ = 1x³yº – 3x²y¹ + 3x¹y² – 1xºy³ or simply
(x – y)³ = x³ – 3x²y¹ + 3x¹y² – y³

It also means that if you flip a coin three times, you’ll get
three heads and no tails 1 way: (HHH),
two head and one tail 3 ways: (HHT); (HTH); (THH),
one head and two tails 3 ways: (HTT); (THT); (TTH), and
no heads and three tails 1 way: (TTT).

That’s just some of what that third row being 1331 means but here are a few more facts about the number 1331.

  • 1331 is a composite number.
  • Prime factorization: 1331 = 11 × 11 × 11, which can be written 1331 = 11³
  • The exponent in the prime factorization is 3. Adding one, we get (3 + 1) = 4. Therefore 1331 has exactly 4 factors.
  • Factors of 1331: 1, 11, 121, 1331
  • Factor pairs: 1331 = 1 × 1331 or 11 × 121
  • Taking the factor pair with the largest square number factor, we get √1331 = (√121)(√11) = 11√11 ≈ 36.48287
  • 1331 is a perfect cube.

1331 is cool in some other bases, too:
It is 1000 in BASE 11, and
it’s 131 in BASE 35

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SQUARE ROOT OF 1331

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Of 1331 factor

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CARA CEPAT MENGHITUNG AKAR KUBIK (PANGKAT 3)

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