Factors of 875 are the list of integers that we can split evenly into 875. There are total 8 factors of 875 i.e. 1, 5, 7, 25, 35, 125, 175, 875. The Pair Factors of 875 are (1, 875), (5, 175), (7, 125), (25, 35) and its Prime Factors are 5 × 7.

• All Factors of 875: 1, 5, 7, 25, 35, 125, 175 and 875
• Negative Factors of 875: -1, -5, -7, -25, -35, -125, -175 and -875
• Prime Factors of 875: 5, 7
• Prime Factorization of 875: 5³ × 7¹
• Sum of Factors of 875: 1248

1.	What Are the Factors of 875?
2.	Factors of 875 by Prime Factorization
3.	Factors of 875 in Pairs
4.	FAQs on Factors of 875

Factors of 875 are pairs of those numbers whose products result in 875. These factors are either prime numbers or composite numbers.

How to Find the Factors of 875?

To find the factors of 875, we will have to find the list of numbers that would divide 875 without leaving any remainder.

• 875/7 = 125; therefore, 7 is a factor of 875 and 125 is also a factor of 875.
• 875/25 = 35; therefore, 25 is a factor of 875 and 35 is also a factor of 875.

Similarly we can find other factors. Hence, the factors of 875 are 1, 5, 7, 25, 35, 125, 175, 875.

☛ Also Check:

• Factors of 21 - The factors of 21 are 1, 3, 7, 21
• Factors of 12 - The factors of 12 are 1, 2, 3, 4, 6, 12
• Factors of 22 - The factors of 22 are 1, 2, 11, 22
• Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20
• Factors of 40 - The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40

The number 875 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 875. The first step is to divide the number 875 with the smallest prime factor, here it is 5. We keep dividing until it gives a non-zero remainder.

• 875 ÷ 5 = 175
• 175 ÷ 5 = 35
• 35 ÷ 5 = 7

Further dividing 7 by 5 gives a non-zero remainder. So we stop the process and continue dividing the number 7 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 875 can be written as 5³ × 7¹ where 5, 7 are prime.

Pair factors of 875 are the pairs of numbers that when multiplied give the product 875. The factors of 875 in pairs are:

• 1 × 875 = (1, 875)
• 5 × 175 = (5, 175)
• 7 × 125 = (7, 125)
• 25 × 35 = (25, 35)

Negative pair factors of 875 are:

• -1 × -875 = (-1, -875)
• -5 × -175 = (-5, -175)
• -7 × -125 = (-7, -125)
• -25 × -35 = (-25, -35)

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