Factors of 676

How to find the factors of 676

Test every whole number from 1 up to the square root of 676 (√676 ≈ 26.000). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 676 ÷ 1 = 676 — so 1 and 676 are factors
• 676 ÷ 2 = 338 — so 2 and 338 are factors
• 676 ÷ 3 = 225.333 — not a whole number
• 676 ÷ 4 = 169 — so 4 and 169 are factors
• 676 ÷ 5 = 135.2 — not a whole number
• 676 ÷ 6 = 112.667 — not a whole number
• 676 ÷ 7 = 96.571 — not a whole number
• 676 ÷ 8 = 84.5 — not a whole number
• 676 ÷ 9 = 75.111 — not a whole number
• 676 ÷ 10 = 67.6 — not a whole number
• 676 ÷ 11 = 61.455 — not a whole number
• 676 ÷ 12 = 56.333 — not a whole number
• 676 ÷ 13 = 52 — so 13 and 52 are factors
• 676 ÷ 14 = 48.286 — not a whole number
• 676 ÷ 15 = 45.067 — not a whole number
• 676 ÷ 16 = 42.25 — not a whole number
• 676 ÷ 17 = 39.765 — not a whole number
• 676 ÷ 18 = 37.556 — not a whole number
• 676 ÷ 19 = 35.579 — not a whole number
• 676 ÷ 20 = 33.8 — not a whole number
• 676 ÷ 21 = 32.19 — not a whole number
• 676 ÷ 22 = 30.727 — not a whole number
• 676 ÷ 23 = 29.391 — not a whole number
• 676 ÷ 24 = 28.167 — not a whole number
• 676 ÷ 25 = 27.04 — not a whole number
• 676 ÷ 26 = 26 — so 26 and 26 are factors

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 13, 26, 52, 169, 338 and 676.

Prime factorization of 676

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

The primes you divided by give 676 = 2² × 13². From the exponents you can also count the factors without listing them: (2 + 1) × (2 + 1) = 9.

Properties of 676

• 676 is a composite number.
• The sum of all its factors is 1,281; the sum of its proper factors (excluding 676) is 605, which makes it a deficient number (its proper factors add up to less than itself).
• 676 is a perfect square: 26 × 26. Perfect squares always have an odd number of factors.
• Multiples of 676 include 1,352, 2,028, 2,704, 3,380 and so on.

Factors vs. multiples

Factors of 676 are the numbers that divide into it; multiples of 676 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.