Factors of 130

How to find the factors of 130

Test every whole number from 1 up to the square root of 130 (√130 ≈ 11.402). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 130 ÷ 1 = 130 — so 1 and 130 are factors
• 130 ÷ 2 = 65 — so 2 and 65 are factors
• 130 ÷ 3 = 43.333 — not a whole number
• 130 ÷ 4 = 32.5 — not a whole number
• 130 ÷ 5 = 26 — so 5 and 26 are factors
• 130 ÷ 6 = 21.667 — not a whole number
• 130 ÷ 7 = 18.571 — not a whole number
• 130 ÷ 8 = 16.25 — not a whole number
• 130 ÷ 9 = 14.444 — not a whole number
• 130 ÷ 10 = 13 — so 10 and 13 are factors
• 130 ÷ 11 = 11.818 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 5, 10, 13, 26, 65 and 130.

Prime factorization of 130

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

The primes you divided by give 130 = 2 × 5 × 13. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) × (1 + 1) = 8.

Properties of 130

• 130 is a composite number.
• The sum of all its factors is 252; the sum of its proper factors (excluding 130) is 122, which makes it a deficient number (its proper factors add up to less than itself).
• 130 is not a perfect square, so its factors pair up evenly.
• Multiples of 130 include 260, 390, 520, 650 and so on.

Factors vs. multiples

Factors of 130 are the numbers that divide into it; multiples of 130 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.