Factors of 136

How to find the factors of 136

Test every whole number from 1 up to the square root of 136 (√136 ≈ 11.662). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 136 ÷ 1 = 136 — so 1 and 136 are factors
• 136 ÷ 2 = 68 — so 2 and 68 are factors
• 136 ÷ 3 = 45.333 — not a whole number
• 136 ÷ 4 = 34 — so 4 and 34 are factors
• 136 ÷ 5 = 27.2 — not a whole number
• 136 ÷ 6 = 22.667 — not a whole number
• 136 ÷ 7 = 19.429 — not a whole number
• 136 ÷ 8 = 17 — so 8 and 17 are factors
• 136 ÷ 9 = 15.111 — not a whole number
• 136 ÷ 10 = 13.6 — not a whole number
• 136 ÷ 11 = 12.364 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 8, 17, 34, 68 and 136.

Prime factorization of 136

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

The primes you divided by give 136 = 2³ × 17. From the exponents you can also count the factors without listing them: (3 + 1) × (1 + 1) = 8.

Properties of 136

• 136 is a composite number.
• The sum of all its factors is 270; the sum of its proper factors (excluding 136) is 134, which makes it a deficient number (its proper factors add up to less than itself).
• 136 is not a perfect square, so its factors pair up evenly.
• Multiples of 136 include 272, 408, 544, 680 and so on.

Factors vs. multiples

Factors of 136 are the numbers that divide into it; multiples of 136 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.