Factor Calculator

Factors of 358

The factors of 358 are 1, 2, 179, and 358. In total, 358 has 4 factors. Its prime factorization is 2 × 179, and the sum of all its factors is 540.

All factors of 358

Here are all 4 factors of 358, listed from smallest to largest.

12179358

Factor pairs of 358

These 2 pairs of whole numbers each multiply to give 358.

1 × 358 = 358
2 × 179 = 358

Prime factorization of 358

Dividing 358 by the smallest prime at each step gives its prime factorization:

358 ÷ 2 = 179
179 ÷ 179 = 1
Result: 358 = 2 × 179 = 2 × 179

The distinct prime factors of 358 are 2, 179. To factorize any other number, use the prime factorization calculator.

Factor tree of 358

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

Factor tree of 3583582179
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 358

Number of factors4
Sum of factors540
Sum of proper factors182
Prime factorization2 × 179
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 358 interesting

  • 358 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
  • 358 is a deficient number: its proper factors sum to 182, which is 176 less than 358 itself.

How to find the factors of 358 yourself

Divide 358 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 √358 ≈ 18.92, because every factor above that pairs with one below it.

358 ÷ 1 = 358 ✓
358 ÷ 2 = 179 ✓

Reading both columns gives every factor: 1, 2, 179, 358. The factor calculator does this automatically for any number.

Numbers mathematically connected to 358.

Frequently asked questions about 358

What are the factors of 358?

The factors of 358 are 1, 2, 179, and 358. That is 4 factors in total, counting both 1 and 358.

Is 358 a prime number?

No, 358 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 358 is also divisible by 2.

What is the prime factorization of 358?

The prime factorization of 358 is 2 × 179. Written out in full: 2 × 179 = 358. Its distinct prime factors are 2, 179.

What two numbers multiply to give 358?

There are 2 pairs of whole numbers that multiply to 358: 1 × 358, 2 × 179.

What is the sum of the factors of 358?

Adding all the factors of 358 together gives 540. Excluding 358 itself, the proper factors sum to 182.

Is 358 a perfect square?

No, 358 is not a perfect square. There is no whole number that multiplies by itself to give 358. The nearest perfect squares are 324 and 361.

What is the largest factor of 358 other than itself?

The largest factor of 358 apart from 358 itself is 179, since 358 ÷ 179 = 2.

How many factors does 358 have?

358 has 4 factors: 1, 2, 179, and 358. You can verify this from the prime factorization 2 × 179: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 358 down further with the prime factorization calculator, or compare 358 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.