Factors of 3125 are the list of integers that we can split evenly into 3125. There are 6 factors of 3125, which are 1, 5, 25, 125, 625, 3125. Here, 3125 is the biggest factor. The Pair Factors of 3125 are (1, 3125), (5, 625), (25, 125) and its Prime Factors are 5.

• All Factors of 3125: 1, 5, 25, 125, 625 and 3125
• Negative Factors of 3125: -1, -5, -25, -125, -625 and -3125
• Prime Factors of 3125: 5
• Prime Factorization of 3125: 5⁵
• Sum of Factors of 3125: 3906

1.	What Are the Factors of 3125?
2.	Factors of 3125 by Prime Factorization
3.	Factors of 3125 in Pairs
4.	FAQs on Factors of 3125

Factors of 3125 are pairs of those numbers whose products result in 3125. These factors are either prime numbers or composite numbers.

How to Find the Factors of 3125?

To find the factors of 3125, we will have to find the list of numbers that would divide 3125 without leaving any remainder.

• 3125/25 = 125; therefore, 25 is a factor of 3125 and 125 is also a factor of 3125.
• 3125/625 = 5; therefore, 625 is a factor of 3125 and 5 is also a factor of 3125.

Similarly we can find other factors. Hence, the factors of 3125 are 1, 5, 25, 125, 625, 3125.

☛ Also Check:

• Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20
• Factors of 128 - The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
• Factors of 51 - The factors of 51 are 1, 3, 17, 51
• Factors of 30 - The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
• Factors of 42 - The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42

The number 3125 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 3125. The first step is to divide the number 3125 with the smallest prime factor, here it is 5. We keep dividing until it gives a non-zero remainder.

• 3125 ÷ 5 = 625
• 625 ÷ 5 = 125
• 125 ÷ 5 = 25
• 25 ÷ 5 = 5
• 5 ÷ 5 = 1

Further dividing 1 by 5 gives a non-zero remainder. So we stop the process and continue dividing the number 1 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.

Since, we can't divide any further in this case so we stop.

So, the prime factorization of 3125 is 5⁵.

Pair factors of 3125 are the pairs of numbers that when multiplied give the product 3125. The factors of 3125 in pairs are:

• 1 × 3125 = (1, 3125)
• 5 × 625 = (5, 625)
• 25 × 125 = (25, 125)

Negative pair factors of 3125 are:

• -1 × -3125 = (-1, -3125)
• -5 × -625 = (-5, -625)
• -25 × -125 = (-25, -125)

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