Factor Calculator

Factors of 958

The factors of 958 are 1, 2, 479, and 958. In total, 958 has 4 factors. Its prime factorization is 2 × 479, and the sum of all its factors is 1440.

All factors of 958

Here are all 4 factors of 958, listed from smallest to largest.

12479958

Factor pairs of 958

These 2 pairs of whole numbers each multiply to give 958.

1 × 958 = 958
2 × 479 = 958

Prime factorization of 958

Dividing 958 by the smallest prime at each step gives its prime factorization:

958 ÷ 2 = 479
479 ÷ 479 = 1
Result: 958 = 2 × 479 = 2 × 479

The distinct prime factors of 958 are 2, 479. To factorize any other number, use the prime factorization calculator.

Factor tree of 958

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

Factor tree of 9589582479
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 958

Number of factors4
Sum of factors1440
Sum of proper factors482
Prime factorization2 × 479
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 958 interesting

  • 958 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.
  • 958 is a deficient number: its proper factors sum to 482, which is 476 less than 958 itself.

How to find the factors of 958 yourself

Divide 958 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 √95830.95, because every factor above that pairs with one below it.

958 ÷ 1 = 958
958 ÷ 2 = 479

Reading both columns gives every factor: 1, 2, 479, 958. The factor calculator does this automatically for any number.

Frequently asked questions about 958

What are the factors of 958?

The factors of 958 are 1, 2, 479, and 958. That is 4 factors in total, counting both 1 and 958.

Is 958 a prime number?

No, 958 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 958 is also divisible by 2.

What is the prime factorization of 958?

The prime factorization of 958 is 2 × 479. Written out in full: 2 × 479 = 958. Its distinct prime factors are 2, 479.

What two numbers multiply to give 958?

There are 2 pairs of whole numbers that multiply to 958: 1 × 958, 2 × 479.

What is the sum of the factors of 958?

Adding all the factors of 958 together gives 1440. Excluding 958 itself, the proper factors sum to 482.

Is 958 a perfect square?

No, 958 is not a perfect square. There is no whole number that multiplies by itself to give 958. The nearest perfect squares are 900 and 961.

What is the largest factor of 958 other than itself?

The largest factor of 958 apart from 958 itself is 479, since 958 ÷ 479 = 2.

How many factors does 958 have?

958 has 4 factors: 1, 2, 479, and 958. You can verify this from the prime factorization 2 × 479: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 958 down further with the prime factorization calculator, or compare 958 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.