Factors of 25

How to find the factors of 25

Test every whole number from 1 up to the square root of 25 (√25 ≈ 5.000). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 25 ÷ 1 = 25 — so 1 and 25 are factors
• 25 ÷ 2 = 12.5 — not a whole number
• 25 ÷ 3 = 8.333 — not a whole number
• 25 ÷ 4 = 6.25 — not a whole number
• 25 ÷ 5 = 5 — so 5 and 5 are factors

Collecting both numbers from every successful division gives the complete list: 1, 5 and 25.

Prime factorization of 25

Divide by the smallest prime that fits, and keep going until the quotient is 1:

The primes you divided by give 25 = 5². From the exponents you can also count the factors without listing them: (2 + 1) = 3.

Properties of 25

• 25 is a composite number.
• The sum of all its factors is 31; the sum of its proper factors (excluding 25) is 6, which makes it a deficient number (its proper factors add up to less than itself).
• 25 is a perfect square: 5 × 5. Perfect squares always have an odd number of factors.
• Multiples of 25 include 50, 75, 100, 125 and so on.

Factors vs. multiples

Factors of 25 are the numbers that divide into it; multiples of 25 are the numbers it divides into. Every number has a limited set of factors but infinitely many multiples. To work with any other number, use the factors calculator, or find shared factors with the GCF calculator.