Factors of 725 are integers that can be divided evenly into 725. There are overall 6 factors of 725 among which 725 is the biggest factor and 1, 5, 25, 29, 145, 725 are positive factors. The Prime Factors and Pair Factors of 725 are 5 × 29 and (1, 725), (5, 145), (25, 29) respectively.

• All Factors of 725: 1, 5, 25, 29, 145 and 725
• Negative Factors of 725: -1, -5, -25, -29, -145 and -725
• Prime Factors of 725: 5, 29
• Prime Factorization of 725: 5² × 29¹
• Sum of Factors of 725: 930

1.	What Are the Factors of 725?
2.	Factors of 725 by Prime Factorization
3.	Factors of 725 in Pairs
4.	FAQs on Factors of 725

Factors of 725 are pairs of those numbers whose products result in 725. These factors are either prime numbers or composite numbers.

How to Find the Factors of 725?

To find the factors of 725, we will have to find the list of numbers that would divide 725 without leaving any remainder.

• 725/5 = 145; therefore, 5 is a factor of 725 and 145 is also a factor of 725.
• 725/29 = 25; therefore, 29 is a factor of 725 and 25 is also a factor of 725.

Similarly we can find other factors. Hence, the factors of 725 are 1, 5, 25, 29, 145, 725.

☛ Also Check:

• Factors of 48 - The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
• Factors of 23 - The factors of 23 are 1, 23
• Factors of 24 - The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
• Factors of 54 - The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
• Factors of 41 - The factors of 41 are 1, 41

The number 725 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 725. The first step is to divide the number 725 with the smallest prime factor, here it is 5. We keep dividing until it gives a non-zero remainder.

• 725 ÷ 5 = 145
• 145 ÷ 5 = 29

Further dividing 29 by 5 gives a non-zero remainder. So we stop the process and continue dividing the number 29 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 725 can be written as 5² × 29¹ where 5, 29 are prime.

Pair factors of 725 are the pairs of numbers that when multiplied give the product 725. The factors of 725 in pairs are:

• 1 × 725 = (1, 725)
• 5 × 145 = (5, 145)
• 25 × 29 = (25, 29)

Negative pair factors of 725 are:

• -1 × -725 = (-1, -725)
• -5 × -145 = (-5, -145)
• -25 × -29 = (-25, -29)

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