Factors of 172

How to find the factors of 172

Test every whole number from 1 up to the square root of 172 (√172 ≈ 13.115). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 172 ÷ 1 = 172 — so 1 and 172 are factors
• 172 ÷ 2 = 86 — so 2 and 86 are factors
• 172 ÷ 3 = 57.333 — not a whole number
• 172 ÷ 4 = 43 — so 4 and 43 are factors
• 172 ÷ 5 = 34.4 — not a whole number
• 172 ÷ 6 = 28.667 — not a whole number
• 172 ÷ 7 = 24.571 — not a whole number
• 172 ÷ 8 = 21.5 — not a whole number
• 172 ÷ 9 = 19.111 — not a whole number
• 172 ÷ 10 = 17.2 — not a whole number
• 172 ÷ 11 = 15.636 — not a whole number
• 172 ÷ 12 = 14.333 — not a whole number
• 172 ÷ 13 = 13.231 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 43, 86 and 172.

Prime factorization of 172

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

The primes you divided by give 172 = 2² × 43. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) = 6.

Properties of 172

• 172 is a composite number.
• The sum of all its factors is 308; the sum of its proper factors (excluding 172) is 136, which makes it a deficient number (its proper factors add up to less than itself).
• 172 is not a perfect square, so its factors pair up evenly.
• Multiples of 172 include 344, 516, 688, 860 and so on.

Factors vs. multiples

Factors of 172 are the numbers that divide into it; multiples of 172 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.