Factors of 177

How to find the factors of 177

Test every whole number from 1 up to the square root of 177 (√177 ≈ 13.304). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 177 ÷ 1 = 177 — so 1 and 177 are factors
• 177 ÷ 2 = 88.5 — not a whole number
• 177 ÷ 3 = 59 — so 3 and 59 are factors
• 177 ÷ 4 = 44.25 — not a whole number
• 177 ÷ 5 = 35.4 — not a whole number
• 177 ÷ 6 = 29.5 — not a whole number
• 177 ÷ 7 = 25.286 — not a whole number
• 177 ÷ 8 = 22.125 — not a whole number
• 177 ÷ 9 = 19.667 — not a whole number
• 177 ÷ 10 = 17.7 — not a whole number
• 177 ÷ 11 = 16.091 — not a whole number
• 177 ÷ 12 = 14.75 — not a whole number
• 177 ÷ 13 = 13.615 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 3, 59 and 177.

Prime factorization of 177

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

The primes you divided by give 177 = 3 × 59. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.

Properties of 177

• 177 is a composite number.
• The sum of all its factors is 240; the sum of its proper factors (excluding 177) is 63, which makes it a deficient number (its proper factors add up to less than itself).
• 177 is not a perfect square, so its factors pair up evenly.
• Multiples of 177 include 354, 531, 708, 885 and so on.

Factors vs. multiples

Factors of 177 are the numbers that divide into it; multiples of 177 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.