Factors of 5625 are the list of integers that can be evenly divided into 5625. There are total 15 factors of 5625, of which 3, 5 are its prime factors. The Prime Factorization of 5625 is 3² × 5⁴.

• All Factors of 5625: 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 625, 1125, 1875 and 5625
• Prime Factors of 5625: 3, 5
• Prime Factorization of 5625: 3² × 5⁴
• Sum of Factors of 5625: 10153

1.	What Are the Factors of 5625?
2.	Factors of 5625 by Prime Factorization
3.	Factors of 5625 in Pairs
4.	FAQs on Factors of 5625

Factors of 5625 are pairs of those numbers whose products result in 5625. These factors are either prime numbers or composite numbers.

How to Find the Factors of 5625?

To find the factors of 5625, we will have to find the list of numbers that would divide 5625 without leaving any remainder.

• 5625/25 = 225; therefore, 25 is a factor of 5625 and 225 is also a factor of 5625.
• 5625/625 = 9; therefore, 625 is a factor of 5625 and 9 is also a factor of 5625.

Similarly we can find other factors. Hence, the factors of 5625 are 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 625, 1125, 1875, 5625.

☛ Also Check:

• Factors of 65 - The factors of 65 are 1, 5, 13, 65
• Factors of 48 - The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
• Factors of 180 - The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
• Factors of 78 - The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
• Factors of 15 - The factors of 15 are 1, 3, 5, 15

The number 5625 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 5625. The first step is to divide the number 5625 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 5625 ÷ 3 = 1875
• 1875 ÷ 3 = 625

Further dividing 625 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 625 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 5625 can be written as 3² × 5⁴ where 3, 5 are prime.

Pair factors of 5625 are the pairs of numbers that when multiplied give the product 5625. The factors of 5625 in pairs are:

• 1 × 5625 = (1, 5625)
• 3 × 1875 = (3, 1875)
• 5 × 1125 = (5, 1125)
• 9 × 625 = (9, 625)
• 15 × 375 = (15, 375)
• 25 × 225 = (25, 225)
• 45 × 125 = (45, 125)
• 75 × 75 = (75, 75)

Negative pair factors of 5625 are:

• -1 × -5625 = (-1, -5625)
• -3 × -1875 = (-3, -1875)
• -5 × -1125 = (-5, -1125)
• -9 × -625 = (-9, -625)
• -15 × -375 = (-15, -375)
• -25 × -225 = (-25, -225)
• -45 × -125 = (-45, -125)
• -75 × -75 = (-75, -75)

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