Factors of 6875 are the list of integers that can be evenly divided into 6875. There are overall 10 factors of 6875 among which 6875 is the biggest factor and its prime factors are 5, 11. The sum of all factors of 6875 is 9372.

• All Factors of 6875: 1, 5, 11, 25, 55, 125, 275, 625, 1375 and 6875
• Negative Factors of 6875: -1, -5, -11, -25, -55, -125, -275, -625, -1375 and -6875
• Prime Factors of 6875: 5, 11
• Prime Factorization of 6875: 5⁴ × 11¹
• Sum of Factors of 6875: 9372

1.	What Are the Factors of 6875?
2.	Factors of 6875 by Prime Factorization
3.	Factors of 6875 in Pairs
4.	FAQs on Factors of 6875

Factors of 6875 are pairs of those numbers whose products result in 6875. These factors are either prime numbers or composite numbers.

How to Find the Factors of 6875?

To find the factors of 6875, we will have to find the list of numbers that would divide 6875 without leaving any remainder.

• 6875/11 = 625; therefore, 11 is a factor of 6875 and 625 is also a factor of 6875.
• 6875/1375 = 5; therefore, 1375 is a factor of 6875 and 5 is also a factor of 6875.

Similarly we can find other factors. Hence, the factors of 6875 are 1, 5, 11, 25, 55, 125, 275, 625, 1375, 6875.

☛ Also Check:

• Factors of 99 - The factors of 99 are 1, 3, 9, 11, 33, 99
• Factors of 75 - The factors of 75 are 1, 3, 5, 15, 25, 75
• Factors of 37 - The factors of 37 are 1, 37
• Factors of 26 - The factors of 26 are 1, 2, 13, 26
• Factors of 39 - The factors of 39 are 1, 3, 13, 39

The number 6875 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 6875. The first step is to divide the number 6875 with the smallest prime factor, here it is 5. We keep dividing until it gives a non-zero remainder.

• 6875 ÷ 5 = 1375
• 1375 ÷ 5 = 275
• 275 ÷ 5 = 55
• 55 ÷ 5 = 11

Further dividing 11 by 5 gives a non-zero remainder. So we stop the process and continue dividing the number 11 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 6875 can be written as 5⁴ × 11¹ where 5, 11 are prime.

Pair factors of 6875 are the pairs of numbers that when multiplied give the product 6875. The factors of 6875 in pairs are:

• 1 × 6875 = (1, 6875)
• 5 × 1375 = (5, 1375)
• 11 × 625 = (11, 625)
• 25 × 275 = (25, 275)
• 55 × 125 = (55, 125)

Negative pair factors of 6875 are:

• -1 × -6875 = (-1, -6875)
• -5 × -1375 = (-5, -1375)
• -11 × -625 = (-11, -625)
• -25 × -275 = (-25, -275)
• -55 × -125 = (-55, -125)

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