Factors of 425

How to find the factors of 425

Test every whole number from 1 up to the square root of 425 (√425 ≈ 20.616). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 425 ÷ 1 = 425 — so 1 and 425 are factors
• 425 ÷ 2 = 212.5 — not a whole number
• 425 ÷ 3 = 141.667 — not a whole number
• 425 ÷ 4 = 106.25 — not a whole number
• 425 ÷ 5 = 85 — so 5 and 85 are factors
• 425 ÷ 6 = 70.833 — not a whole number
• 425 ÷ 7 = 60.714 — not a whole number
• 425 ÷ 8 = 53.125 — not a whole number
• 425 ÷ 9 = 47.222 — not a whole number
• 425 ÷ 10 = 42.5 — not a whole number
• 425 ÷ 11 = 38.636 — not a whole number
• 425 ÷ 12 = 35.417 — not a whole number
• 425 ÷ 13 = 32.692 — not a whole number
• 425 ÷ 14 = 30.357 — not a whole number
• 425 ÷ 15 = 28.333 — not a whole number
• 425 ÷ 16 = 26.563 — not a whole number
• 425 ÷ 17 = 25 — so 17 and 25 are factors
• 425 ÷ 18 = 23.611 — not a whole number
• 425 ÷ 19 = 22.368 — not a whole number
• 425 ÷ 20 = 21.25 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 5, 17, 25, 85 and 425.

Prime factorization of 425

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

The primes you divided by give 425 = 5² × 17. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) = 6.

Properties of 425

• 425 is a composite number.
• The sum of all its factors is 558; the sum of its proper factors (excluding 425) is 133, which makes it a deficient number (its proper factors add up to less than itself).
• 425 is not a perfect square, so its factors pair up evenly.
• Multiples of 425 include 850, 1,275, 1,700, 2,125 and so on.

Factors vs. multiples

Factors of 425 are the numbers that divide into it; multiples of 425 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.