Factors of 507 are numbers that, when multiplied in pairs give the product as 507. It has a total of 6 factors of which 507 is the biggest factor and the positive factors of 507 are 1, 3, 13, 39, 169, 507. The sum of all factors of 507 is 732. Its Prime Factors are 3 × 13 and (1, 507), (3, 169), (13, 39) are Pair Factors.

• All Factors of 507: 1, 3, 13, 39, 169 and 507
• Negative Factors of 507: -1, -3, -13, -39, -169 and -507
• Prime Factors of 507: 3, 13
• Prime Factorization of 507: 3¹ × 13²
• Sum of Factors of 507: 732

1.	What Are the Factors of 507?
2.	Factors of 507 by Prime Factorization
3.	Factors of 507 in Pairs
4.	FAQs on Factors of 507

Factors of 507 are pairs of those numbers whose products result in 507. These factors are either prime numbers or composite numbers.

How to Find the Factors of 507?

To find the factors of 507, we will have to find the list of numbers that would divide 507 without leaving any remainder.

• 507/169 = 3; therefore, 169 is a factor of 507 and 3 is also a factor of 507.
• 507/13 = 39; therefore, 13 is a factor of 507 and 39 is also a factor of 507.

Similarly we can find other factors. Hence, the factors of 507 are 1, 3, 13, 39, 169, 507.

☛ Also Check:

• Factors of 13 - The factors of 13 are 1, 13
• Factors of 33 - The factors of 33 are 1, 3, 11, 33
• Factors of 12 - The factors of 12 are 1, 2, 3, 4, 6, 12
• Factors of 78 - The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
• Factors of 37 - The factors of 37 are 1, 37

The number 507 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 507. The first step is to divide the number 507 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 507 ÷ 3 = 169

Further dividing 169 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 169 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 507 can be written as 3¹ × 13² where 3, 13 are prime.

Pair factors of 507 are the pairs of numbers that when multiplied give the product 507. The factors of 507 in pairs are:

• 1 × 507 = (1, 507)
• 3 × 169 = (3, 169)
• 13 × 39 = (13, 39)

Negative pair factors of 507 are:

• -1 × -507 = (-1, -507)
• -3 × -169 = (-3, -169)
• -13 × -39 = (-13, -39)

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