Factors of 159

How to find the factors of 159

Test every whole number from 1 up to the square root of 159 (√159 ≈ 12.610). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 159 ÷ 1 = 159 — so 1 and 159 are factors
• 159 ÷ 2 = 79.5 — not a whole number
• 159 ÷ 3 = 53 — so 3 and 53 are factors
• 159 ÷ 4 = 39.75 — not a whole number
• 159 ÷ 5 = 31.8 — not a whole number
• 159 ÷ 6 = 26.5 — not a whole number
• 159 ÷ 7 = 22.714 — not a whole number
• 159 ÷ 8 = 19.875 — not a whole number
• 159 ÷ 9 = 17.667 — not a whole number
• 159 ÷ 10 = 15.9 — not a whole number
• 159 ÷ 11 = 14.455 — not a whole number
• 159 ÷ 12 = 13.25 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 3, 53 and 159.

Prime factorization of 159

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

The primes you divided by give 159 = 3 × 53. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.

Properties of 159

• 159 is a composite number.
• The sum of all its factors is 216; the sum of its proper factors (excluding 159) is 57, which makes it a deficient number (its proper factors add up to less than itself).
• 159 is not a perfect square, so its factors pair up evenly.
• Multiples of 159 include 318, 477, 636, 795 and so on.

Factors vs. multiples

Factors of 159 are the numbers that divide into it; multiples of 159 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.