Factors of 170

How to find the factors of 170

Test every whole number from 1 up to the square root of 170 (√170 ≈ 13.038). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 170 ÷ 1 = 170 — so 1 and 170 are factors
• 170 ÷ 2 = 85 — so 2 and 85 are factors
• 170 ÷ 3 = 56.667 — not a whole number
• 170 ÷ 4 = 42.5 — not a whole number
• 170 ÷ 5 = 34 — so 5 and 34 are factors
• 170 ÷ 6 = 28.333 — not a whole number
• 170 ÷ 7 = 24.286 — not a whole number
• 170 ÷ 8 = 21.25 — not a whole number
• 170 ÷ 9 = 18.889 — not a whole number
• 170 ÷ 10 = 17 — so 10 and 17 are factors
• 170 ÷ 11 = 15.455 — not a whole number
• 170 ÷ 12 = 14.167 — not a whole number
• 170 ÷ 13 = 13.077 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 5, 10, 17, 34, 85 and 170.

Prime factorization of 170

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

The primes you divided by give 170 = 2 × 5 × 17. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) × (1 + 1) = 8.

Properties of 170

• 170 is a composite number.
• The sum of all its factors is 324; the sum of its proper factors (excluding 170) is 154, which makes it a deficient number (its proper factors add up to less than itself).
• 170 is not a perfect square, so its factors pair up evenly.
• Multiples of 170 include 340, 510, 680, 850 and so on.

Factors vs. multiples

Factors of 170 are the numbers that divide into it; multiples of 170 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.