Factors of 315 are the list of integers that we can split evenly into 315. There are 12 factors of 315, of which the following are its prime factors 3, 5, 7. The sum of all factors of 315 is 624.

• All Factors of 315: 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105 and 315
• Prime Factors of 315: 3, 5, 7
• Prime Factorization of 315: 3² × 5¹ × 7¹
• Sum of Factors of 315: 624

1.	What Are the Factors of 315?
2.	Factors of 315 by Prime Factorization
3.	Factors of 315 in Pairs
4.	FAQs on Factors of 315

Factors of 315 are pairs of those numbers whose products result in 315. These factors are either prime numbers or composite numbers.

How to Find the Factors of 315?

To find the factors of 315, we will have to find the list of numbers that would divide 315 without leaving any remainder.

• 315/7 = 45; therefore, 7 is a factor of 315 and 45 is also a factor of 315.
• 315/21 = 15; therefore, 21 is a factor of 315 and 15 is also a factor of 315.

Similarly we can find other factors. Hence, the factors of 315 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315.

☛ Also Check:

• Factors of 99 - The factors of 99 are 1, 3, 9, 11, 33, 99
• Factors of 25 - The factors of 25 are 1, 5, 25
• Factors of 6 - The factors of 6 are 1, 2, 3, 6
• Factors of 80 - The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
• Factors of 37 - The factors of 37 are 1, 37

The number 315 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 315. The first step is to divide the number 315 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 315 ÷ 3 = 105
• 105 ÷ 3 = 35

Further dividing 35 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 35 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 315 can be written as 3² × 5¹ × 7¹ where 3, 5, 7 are prime.

Pair factors of 315 are the pairs of numbers that when multiplied give the product 315. The factors of 315 in pairs are:

• 1 × 315 = (1, 315)
• 3 × 105 = (3, 105)
• 5 × 63 = (5, 63)
• 7 × 45 = (7, 45)
• 9 × 35 = (9, 35)
• 15 × 21 = (15, 21)

Negative pair factors of 315 are:

• -1 × -315 = (-1, -315)
• -3 × -105 = (-3, -105)
• -5 × -63 = (-5, -63)
• -7 × -45 = (-7, -45)
• -9 × -35 = (-9, -35)
• -15 × -21 = (-15, -21)

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