Factor Calculator

Factors of 356

The factors of 356 are 1, 2, 4, 89, 178, and 356. In total, 356 has 6 factors. Its prime factorization is 2² × 89, and the sum of all its factors is 630.

All factors of 356

Here are all 6 factors of 356, listed from smallest to largest.

12489178356

Factor pairs of 356

These 3 pairs of whole numbers each multiply to give 356.

1 × 356 = 356
2 × 178 = 356
4 × 89 = 356

Prime factorization of 356

Dividing 356 by the smallest prime at each step gives its prime factorization:

356 ÷ 2 = 178
178 ÷ 2 = 89
89 ÷ 89 = 1
Result: 356 = 2 × 2 × 89 = 2² × 89

The distinct prime factors of 356 are 2, 89. To factorize any other number, use the prime factorization calculator.

Factor tree of 356

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

Factor tree of 3563562178289
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 356

Number of factors6
Sum of factors630
Sum of proper factors274
Prime factorization2² × 89
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 356 interesting

  • 356 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
  • 356 is a deficient number: its proper factors sum to 274, which is 82 less than 356 itself.

How to find the factors of 356 yourself

Divide 356 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 √356 ≈ 18.87, because every factor above that pairs with one below it.

356 ÷ 1 = 356 ✓
356 ÷ 2 = 178 ✓
356 ÷ 4 = 89 ✓

Reading both columns gives every factor: 1, 2, 4, 89, 178, 356. The factor calculator does this automatically for any number.

Numbers mathematically connected to 356.

Frequently asked questions about 356

What are the factors of 356?

The factors of 356 are 1, 2, 4, 89, 178, and 356. That is 6 factors in total, counting both 1 and 356.

Is 356 a prime number?

No, 356 is not prime — it is a composite number with 6 factors. A prime number has exactly two factors, but 356 is also divisible by 2.

What is the prime factorization of 356?

The prime factorization of 356 is 2² × 89. Written out in full: 2 × 2 × 89 = 356. Its distinct prime factors are 2, 89.

What two numbers multiply to give 356?

There are 3 pairs of whole numbers that multiply to 356: 1 × 356, 2 × 178, 4 × 89.

What is the sum of the factors of 356?

Adding all the factors of 356 together gives 630. Excluding 356 itself, the proper factors sum to 274.

Is 356 a perfect square?

No, 356 is not a perfect square. There is no whole number that multiplies by itself to give 356. The nearest perfect squares are 324 and 361.

What is the largest factor of 356 other than itself?

The largest factor of 356 apart from 356 itself is 178, since 356 ÷ 178 = 2.

How many factors does 356 have?

356 has 6 factors: 1, 2, 4, 89, 178, and 356. You can verify this from the prime factorization 2² × 89: add 1 to each exponent and multiply, giving 3 × 2 = 6.

Explore more

Try another number in the factor calculator, break 356 down further with the prime factorization calculator, or compare 356 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.