Factor Calculator

Factors of 1058

The factors of 1058 are 1, 2, 23, 46, 529, and 1058. In total, 1058 has 6 factors. Its prime factorization is 2 × 23², and the sum of all its factors is 1659.

All factors of 1058

Here are all 6 factors of 1058, listed from smallest to largest.

1223465291058

Factor pairs of 1058

These 3 pairs of whole numbers each multiply to give 1058.

1 × 1058 = 1058
2 × 529 = 1058
23 × 46 = 1058

Prime factorization of 1058

Dividing 1058 by the smallest prime at each step gives its prime factorization:

1058 ÷ 2 = 529
529 ÷ 23 = 23
23 ÷ 23 = 1
Result: 1058 = 2 × 23 × 23 = 2 × 23²

The distinct prime factors of 1058 are 2, 23. To factorize any other number, use the prime factorization calculator.

Factor tree of 1058

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

Factor tree of 1058105825292323
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1058

Number of factors6
Sum of factors1659
Sum of proper factors601
Prime factorization2 × 23²
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 1058 interesting

  • 1058 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.
  • 1058 is a deficient number: its proper factors sum to 601, which is 457 less than 1058 itself.

How to find the factors of 1058 yourself

Divide 1058 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 √1058 ≈ 32.53, because every factor above that pairs with one below it.

1058 ÷ 1 = 1058 ✓
1058 ÷ 2 = 529 ✓
1058 ÷ 23 = 46 ✓

Reading both columns gives every factor: 1, 2, 23, 46, 529, 1058. The factor calculator does this automatically for any number.

Numbers mathematically connected to 1058.

Frequently asked questions about 1058

What are the factors of 1058?

The factors of 1058 are 1, 2, 23, 46, 529, and 1058. That is 6 factors in total, counting both 1 and 1058.

Is 1058 a prime number?

No, 1058 is not prime — it is a composite number with 6 factors. A prime number has exactly two factors, but 1058 is also divisible by 2.

What is the prime factorization of 1058?

The prime factorization of 1058 is 2 × 23². Written out in full: 2 × 23 × 23 = 1058. Its distinct prime factors are 2, 23.

What two numbers multiply to give 1058?

There are 3 pairs of whole numbers that multiply to 1058: 1 × 1058, 2 × 529, 23 × 46.

What is the sum of the factors of 1058?

Adding all the factors of 1058 together gives 1659. Excluding 1058 itself, the proper factors sum to 601.

Is 1058 a perfect square?

No, 1058 is not a perfect square. There is no whole number that multiplies by itself to give 1058. The nearest perfect squares are 1024 and 1089.

What is the largest factor of 1058 other than itself?

The largest factor of 1058 apart from 1058 itself is 529, since 1058 ÷ 529 = 2.

How many factors does 1058 have?

1058 has 6 factors: 1, 2, 23, 46, 529, and 1058. You can verify this from the prime factorization 2 × 23²: add 1 to each exponent and multiply, giving 2 × 3 = 6.

Explore more

Try another number in the factor calculator, break 1058 down further with the prime factorization calculator, or compare 1058 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.