Factor Calculator

Factors of 676

The factors of 676 are 1, 2, 4, 13, 26, 52, 169, 338, and 676. In total, 676 has 9 factors. Its prime factorization is 2² × 13², and the sum of all its factors is 1281. 676 is also a perfect square, equal to 26 × 26.

All factors of 676

Here are all 9 factors of 676, listed from smallest to largest.

124132652169338676

Factor pairs of 676

These 5 pairs of whole numbers each multiply to give 676.

1 × 676 = 676
2 × 338 = 676
4 × 169 = 676
13 × 52 = 676
26 × 26 = 676

Notice the pair (26, 26) — because 676 is a perfect square, this pair uses the same number twice.

Prime factorization of 676

Dividing 676 by the smallest prime at each step gives its prime factorization:

676 ÷ 2 = 338
338 ÷ 2 = 169
169 ÷ 13 = 13
13 ÷ 13 = 1
Result: 676 = 2 × 2 × 13 × 13 = 2² × 13²

The distinct prime factors of 676 are 2, 13. To factorize any other number, use the prime factorization calculator.

Factor tree of 676

A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.

Factor tree of 676676233821691313
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 676

Number of factors9
Sum of factors1281
Sum of proper factors605
Prime factorization2² × 13²
Prime or composite?Composite
Even or odd?Even
Perfect square?Yes (26²)
Perfect cube?No
ClassificationDeficient

What makes 676 interesting

  • 676 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 5 different ways.
  • 676 is a perfect square: 26 × 26 = 676. This is why it has an odd number of factors (9) — the pair (26, 26) counts only once.
  • 676 is a deficient number: its proper factors sum to 605, which is 71 less than 676 itself.

How to find the factors of 676 yourself

Divide 676 by each whole number starting from 1. Whenever the division leaves no remainder, both the divisor and the quotient are factors. You only need to test up to √676 ≈ 26.00, because every factor above that pairs with one below it.

676 ÷ 1 = 676 ✓
676 ÷ 2 = 338 ✓
676 ÷ 4 = 169 ✓
676 ÷ 13 = 52 ✓
676 ÷ 26 = 26 ✓

Reading both columns gives every factor: 1, 2, 4, 13, 26, 52, 169, 338, 676. The factor calculator does this automatically for any number.

Numbers mathematically connected to 676.

Frequently asked questions about 676

What are the factors of 676?

The factors of 676 are 1, 2, 4, 13, 26, 52, 169, 338, and 676. That is 9 factors in total, counting both 1 and 676.

Is 676 a prime number?

No, 676 is not prime — it is a composite number with 9 factors. A prime number has exactly two factors, but 676 is also divisible by 2.

What is the prime factorization of 676?

The prime factorization of 676 is 2² × 13². Written out in full: 2 × 2 × 13 × 13 = 676. Its distinct prime factors are 2, 13.

What two numbers multiply to give 676?

There are 5 pairs of whole numbers that multiply to 676: 1 × 676, 2 × 338, 4 × 169, 13 × 52, 26 × 26.

What is the sum of the factors of 676?

Adding all the factors of 676 together gives 1281. Excluding 676 itself, the proper factors sum to 605.

Is 676 a perfect square?

Yes, 676 is a perfect square. It equals 26 × 26. Perfect squares always have an odd number of factors — 676 has 9.

What is the largest factor of 676 other than itself?

The largest factor of 676 apart from 676 itself is 338, since 676 ÷ 338 = 2.

How many factors does 676 have?

676 has 9 factors: 1, 2, 4, 13, 26, 52, 169, 338, and 676. You can verify this from the prime factorization 2² × 13²: add 1 to each exponent and multiply, giving 3 × 3 = 9.

Explore more

Try another number in the factor calculator, break 676 down further with the prime factorization calculator, or compare 676 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.