Factors of 232 are the list of integers that can be evenly divided into 232. There are overall 8 factors of 232 i.e. 1, 2, 4, 8, 29, 58, 116, 232 where 232 is the biggest factor. The Prime Factors and Pair Factors of 232 are 2 × 29 and (1, 232), (2, 116), (4, 58), (8, 29) respectively.

• All Factors of 232: 1, 2, 4, 8, 29, 58, 116 and 232
• Negative Factors of 232: -1, -2, -4, -8, -29, -58, -116 and -232
• Prime Factors of 232: 2, 29
• Prime Factorization of 232: 2³ × 29¹
• Sum of Factors of 232: 450

1.	What Are the Factors of 232?
2.	Factors of 232 by Prime Factorization
3.	Factors of 232 in Pairs
4.	FAQs on Factors of 232

Factors of 232 are pairs of those numbers whose products result in 232. These factors are either prime numbers or composite numbers.

How to Find the Factors of 232?

To find the factors of 232, we will have to find the list of numbers that would divide 232 without leaving any remainder.

• 232/116 = 2; therefore, 116 is a factor of 232 and 2 is also a factor of 232.
• 232/58 = 4; therefore, 58 is a factor of 232 and 4 is also a factor of 232.

Similarly we can find other factors. Hence, the factors of 232 are 1, 2, 4, 8, 29, 58, 116, 232.

☛ Also Check:

• Factors of 54 - The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
• Factors of 27 - The factors of 27 are 1, 3, 9, 27
• Factors of 50 - The factors of 50 are 1, 2, 5, 10, 25, 50
• Factors of 6 - The factors of 6 are 1, 2, 3, 6
• Factors of 144 - The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

The number 232 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 232. The first step is to divide the number 232 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 232 ÷ 2 = 116
• 116 ÷ 2 = 58
• 58 ÷ 2 = 29

Further dividing 29 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 29 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 232 can be written as 2³ × 29¹ where 2, 29 are prime.

Pair factors of 232 are the pairs of numbers that when multiplied give the product 232. The factors of 232 in pairs are:

• 1 × 232 = (1, 232)
• 2 × 116 = (2, 116)
• 4 × 58 = (4, 58)
• 8 × 29 = (8, 29)

Negative pair factors of 232 are:

• -1 × -232 = (-1, -232)
• -2 × -116 = (-2, -116)
• -4 × -58 = (-4, -58)
• -8 × -29 = (-8, -29)

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