Factors of 325

How to find the factors of 325

Test every whole number from 1 up to the square root of 325 (√325 ≈ 18.028). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 325 ÷ 1 = 325 — so 1 and 325 are factors
• 325 ÷ 2 = 162.5 — not a whole number
• 325 ÷ 3 = 108.333 — not a whole number
• 325 ÷ 4 = 81.25 — not a whole number
• 325 ÷ 5 = 65 — so 5 and 65 are factors
• 325 ÷ 6 = 54.167 — not a whole number
• 325 ÷ 7 = 46.429 — not a whole number
• 325 ÷ 8 = 40.625 — not a whole number
• 325 ÷ 9 = 36.111 — not a whole number
• 325 ÷ 10 = 32.5 — not a whole number
• 325 ÷ 11 = 29.545 — not a whole number
• 325 ÷ 12 = 27.083 — not a whole number
• 325 ÷ 13 = 25 — so 13 and 25 are factors
• 325 ÷ 14 = 23.214 — not a whole number
• 325 ÷ 15 = 21.667 — not a whole number
• 325 ÷ 16 = 20.313 — not a whole number
• 325 ÷ 17 = 19.118 — not a whole number
• 325 ÷ 18 = 18.056 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 5, 13, 25, 65 and 325.

Prime factorization of 325

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

The primes you divided by give 325 = 5² × 13. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) = 6.

Properties of 325

• 325 is a composite number.
• The sum of all its factors is 434; the sum of its proper factors (excluding 325) is 109, which makes it a deficient number (its proper factors add up to less than itself).
• 325 is not a perfect square, so its factors pair up evenly.
• Multiples of 325 include 650, 975, 1,300, 1,625 and so on.

Factors vs. multiples

Factors of 325 are the numbers that divide into it; multiples of 325 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.