Factors of 231 are the list of integers that we can split evenly into 231. There are total 8 factors of 231 i.e. 1, 3, 7, 11, 21, 33, 77, 231. The Prime Factors of 231 are 3 × 7 × 11 and its Factors in Pairs are (1, 231), (3, 77), (7, 33), (11, 21).

• All Factors of 231: 1, 3, 7, 11, 21, 33, 77 and 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

Factors of 231 are pairs of those numbers whose products result in 231. These factors are either prime numbers or composite numbers.

How to Find the Factors of 231?

To find the factors of 231, we will have to find the list of numbers that would divide 231 without leaving any remainder.

• 231/231 = 1; therefore, 231 is a factor of 231.
• 231/77 = 3; therefore, 77 is a factor of 231.

Similarly we can find other factors. Hence, the factors of 231 are 1, 3, 7, 11, 21, 33, 77, 231.

☛ Also Check:

• Factors of 70 - The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
• Factors of 55 - The factors of 55 are 1, 5, 11, 55
• Factors of 26 - The factors of 26 are 1, 2, 13, 26
• Factors of 100 - The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100
• Factors of 15 - The factors of 15 are 1, 3, 5, 15

The number 231 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 231. The first step is to divide the number 231 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 231 ÷ 3 = 77

Further dividing 77 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 77 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.

So, the prime factorization of 231 can be written as 3¹ × 7¹ × 11¹ where 3, 7, 11 are prime.

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

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

Negative pair factors 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 factor of a number then (b, a) is also a pair factor of that number.