Factors of 160

How to find the factors of 160

Test every whole number from 1 up to the square root of 160 (√160 ≈ 12.649). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 160 ÷ 1 = 160 — so 1 and 160 are factors
• 160 ÷ 2 = 80 — so 2 and 80 are factors
• 160 ÷ 3 = 53.333 — not a whole number
• 160 ÷ 4 = 40 — so 4 and 40 are factors
• 160 ÷ 5 = 32 — so 5 and 32 are factors
• 160 ÷ 6 = 26.667 — not a whole number
• 160 ÷ 7 = 22.857 — not a whole number
• 160 ÷ 8 = 20 — so 8 and 20 are factors
• 160 ÷ 9 = 17.778 — not a whole number
• 160 ÷ 10 = 16 — so 10 and 16 are factors
• 160 ÷ 11 = 14.545 — not a whole number
• 160 ÷ 12 = 13.333 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80 and 160.

Prime factorization of 160

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

The primes you divided by give 160 = 2⁵ × 5. From the exponents you can also count the factors without listing them: (5 + 1) × (1 + 1) = 12.

Properties of 160

• 160 is a composite number.
• The sum of all its factors is 378; the sum of its proper factors (excluding 160) is 218, which makes it a abundant number (its proper factors add up to more than itself).
• 160 is not a perfect square, so its factors pair up evenly.
• Multiples of 160 include 320, 480, 640, 800 and so on.

Factors vs. multiples

Factors of 160 are the numbers that divide into it; multiples of 160 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.