Factors of 524 are numbers that, when multiplied in pairs give the product as 524. It has a total of 6 factors of which 524 is the biggest factor and the positive factors of 524 are 1, 2, 4, 131, 262, 524. The sum of all factors of 524 is 924 and its factors in Pairs are (1, 524), (2, 262), (4, 131).

• All Factors of 524: 1, 2, 4, 131, 262 and 524
• Negative Factors of 524: -1, -2, -4, -131, -262 and -524
• Prime Factors of 524: 2, 131
• Prime Factorization of 524: 2² × 131¹
• Sum of Factors of 524: 924

1.	What Are the Factors of 524?
2.	Factors of 524 by Prime Factorization
3.	Factors of 524 in Pairs
4.	FAQs on Factors of 524

Factors of 524 are pairs of those numbers whose products result in 524. These factors are either prime numbers or composite numbers.

How to Find the Factors of 524?

To find the factors of 524, we will have to find the list of numbers that would divide 524 without leaving any remainder.

• 524/4 = 131; therefore, 4 is a factor of 524 and 131 is also a factor of 524.
• 524/262 = 2; therefore, 262 is a factor of 524 and 2 is also a factor of 524.

Similarly we can find other factors. Hence, the factors of 524 are 1, 2, 4, 131, 262, 524.

☛ Also Check:

• Factors of 37 - The factors of 37 are 1, 37
• Factors of 9 - The factors of 9 are 1, 3, 9
• Factors of 63 - The factors of 63 are 1, 3, 7, 9, 21, 63
• Factors of 23 - The factors of 23 are 1, 23
• Factors of 72 - The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

The number 524 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 524. The first step is to divide the number 524 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 524 ÷ 2 = 262
• 262 ÷ 2 = 131

Further dividing 131 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 131 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 524 can be written as 2² × 131¹ where 2, 131 are prime.

Pair factors of 524 are the pairs of numbers that when multiplied give the product 524. The factors of 524 in pairs are:

• 1 × 524 = (1, 524)
• 2 × 262 = (2, 262)
• 4 × 131 = (4, 131)

Negative pair factors of 524 are:

• -1 × -524 = (-1, -524)
• -2 × -262 = (-2, -262)
• -4 × -131 = (-4, -131)

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