Factors of 231 are the list of integers that we have the right to separation evenly into 231. Tright here are full 8 determinants of 231 i.e. 1, 3, 7, 11, 21, 33, 77, 231. The Prime Factors of 231 are 3 × 7 × 11 and also its Factors in Pairs are (1, 231), (3, 77), (7, 33), (11, 21).

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All Factors of 231: 1, 3, 7, 11, 21, 33, 77 and also 231 Negative Factors of 231: -1, -3, -7, -11, -21, -33, -77 and -231 Prime Factors of 231: 3, 7, 11 Prime Factorization of 231: 31 × 71 × 111 Sum of Factors of 231: 384
1.What Are the Factors of 231?
2.Factors of 231 by Prime Factorization
3.Factors of 231 in Pairs
4.FAQs on Factors of 231
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What are Factors of 231?


Factors of 231 are pairs of those numbers whose assets bring about 231. These determinants are either prime numbers or composite numbers.

How to Find the Factors of 231?

To uncover the components of 231, we will have to uncover the list of numbers that would certainly divide 231 without leaving any kind of remainder.

231/231 = 1; therefore, 231 is a element of 231.231/77 = 3; therefore, 77 is a factor of 231. Similarly we have the right to uncover other components. Hence, the factors of 231 are 1, 3, 7, 11, 21, 33, 77, 231.

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Factors of 231 by Prime Factorization


The number 231 is composite and also therefore it will have actually prime components. Now let us learn exactly how to calculate the prime components of 231. The initially step is to divide the number 231 with the smallest prime variable, here it is 3. We keep splitting till it gives a non-zero remainder. 231 ÷ 3 = 77

More separating 77 by 3 provides a non-zero remainder. So we soptimal the procedure and continue separating the number 77 by the next smallest prime factor. We sheight inevitably if the next prime factor does not exist or once we can not divide any type of better.

So, the prime factorization of 231 deserve to be written as 31 × 71 × 111 wbelow 3, 7, 11 are prime.


Factors of 231 in Pairs


Pair factors of 231 are the pairs of numbers that when multiplied provide the product 231. The components of 231 in pairs are:

1 × 231 = (1, 231) 3 × 77 = (3, 77) 7 × 33 = (7, 33) 11 × 21 = (11, 21)

Negative pair components of 231 are:

-1 × -231 = (-1, -231) -3 × -77 = (-3, -77) -7 × -33 = (-7, -33) -11 × -21 = (-11, -21)

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


Factors of 231 Solved Examples


Example 1: How many type of determinants are tright here for 231?

Solution:

The components of 231 are 1, 3, 7, 11, 21, 33, 77, 231. Because of this, 231 has actually 8 determinants.


Example 3: Find if 1, 3, 7, 51 and also 77 are determinants of 231.

Solution:

When we divide 231 by 51 it leaves a remainder. Thus, the number 51 is not a variable of 231. All numbers except 51 are determinants of 231.


Example 4: Find the product of all the prime determinants of 231.

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Solution:

Due to the fact that, the prime factors of 231 are 3, 7, 11. Because of this, the product of prime determinants = 3 × 7 × 11 = 231.


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FAQs on Factors of 231


What are the Factors of 231?

The factors of 231 are 1, 3, 7, 11, 21, 33, 77, 231 and its negative factors are -1, -3, -7, -11, -21, -33, -77, -231.

What is the Sum of Factors of 231?

Sum of all determinants of 231 = (31 + 1 - 1)/(3 - 1) × (71 + 1 - 1)/(7 - 1) × (111 + 1 - 1)/(11 - 1) = 384

What numbers are the Pair Factors of 231?

The pair factors of 231 are (1, 231), (3, 77), (7, 33), (11, 21).

What is the Greatest Typical Factor of 231 and 31?

The factors of 231 are 1, 3, 7, 11, 21, 33, 77, 231 and the components of 31 are 1, 31. 231 and also 31 have actually only one common variable which is 1. This indicates that 231 and 31 are co-prime. Hence, the Greatest Typical Factor (GCF) of 231 and also 31 is 1.

What are the Common Factors of 231 and 44?

Since, the determinants of 231 are 1, 3, 7, 11, 21, 33, 77, 231 and also the determinants of 44 are 1, 2, 4, 11, 22, 44. Hence, <1, 11> are the widespread determinants of 231 and also 44.