Factors of 2025 are the list of integers that we can split evenly into 2025. There are 15 factors of 2025, of which the following are its prime factors 3, 5. The sum of all factors of 2025 is 3751.

• All Factors of 2025: 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675 and 2025
• Prime Factors of 2025: 3, 5
• Prime Factorization of 2025: 3⁴ × 5²
• Sum of Factors of 2025: 3751

1.	What Are the Factors of 2025?
2.	Factors of 2025 by Prime Factorization
3.	Factors of 2025 in Pairs
4.	FAQs on Factors of 2025

Factors of 2025 are pairs of those numbers whose products result in 2025. These factors are either prime numbers or composite numbers.

How to Find the Factors of 2025?

To find the factors of 2025, we will have to find the list of numbers that would divide 2025 without leaving any remainder.

• 2025/2025 = 1; therefore, 2025 is a factor of 2025.
• 2025/3 = 675; therefore, 3 is a factor of 2025.

Similarly we can find other factors. Hence, the factors of 2025 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, 2025.

☛ Also Check:

• Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20
• Factors of 80 - The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
• Factors of 108 - The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
• Factors of 50 - The factors of 50 are 1, 2, 5, 10, 25, 50
• Factors of 12 - The factors of 12 are 1, 2, 3, 4, 6, 12

The number 2025 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 2025. The first step is to divide the number 2025 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 2025 ÷ 3 = 675
• 675 ÷ 3 = 225
• 225 ÷ 3 = 75
• 75 ÷ 3 = 25

Further dividing 25 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 25 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 2025 can be written as 3⁴ × 5² where 3, 5 are prime.

Pair factors of 2025 are the pairs of numbers that when multiplied give the product 2025. The factors of 2025 in pairs are:

• 1 × 2025 = (1, 2025)
• 3 × 675 = (3, 675)
• 5 × 405 = (5, 405)
• 9 × 225 = (9, 225)
• 15 × 135 = (15, 135)
• 25 × 81 = (25, 81)
• 27 × 75 = (27, 75)
• 45 × 45 = (45, 45)

Negative pair factors of 2025 are:

• -1 × -2025 = (-1, -2025)
• -3 × -675 = (-3, -675)
• -5 × -405 = (-5, -405)
• -9 × -225 = (-9, -225)
• -15 × -135 = (-15, -135)
• -25 × -81 = (-25, -81)
• -27 × -75 = (-27, -75)
• -45 × -45 = (-45, -45)

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