Factor Calculator

Factors of 59

The factors of 59 are 1 and 59. Since 59 is a prime number, it has exactly 2 factors and cannot be divided evenly by any other whole number. The sum of its factors is 60, and its prime factorization is simply 59 itself.

All factors of 59

Here are all 2 factors of 59, listed from smallest to largest.

159

Factor pairs of 59

There is only one factor pair for 59, because it is prime.

1 × 59 = 59

Prime factorization of 59

59 is a prime number, so it cannot be broken down further. Its prime factorization is simply 59.

Properties of 59

Number of factors2
Sum of factors60
Sum of proper factors1
Prime factorization59
Prime or composite?Prime
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 59 interesting

  • 59 is a prime number, so its only factors are 1 and 59. It cannot be split into a product of two smaller whole numbers.
  • Every prime number is deficient — the sum of its proper factors is always 1, which is far less than the number itself.

How to find the factors of 59 yourself

Divide 59 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 √59 ≈ 7.68, because every factor above that pairs with one below it.

59 ÷ 1 = 59 ✓

Reading both columns gives every factor: 1, 59. The factor calculator does this automatically for any number.

Numbers mathematically connected to 59.

Frequently asked questions about 59

What are the factors of 59?

The factors of 59 are 1 and 59. That is 2 factors in total, counting both 1 and 59.

Is 59 a prime number?

Yes, 59 is a prime number. It has exactly two factors: 1 and 59. No other whole number divides it evenly.

What is the prime factorization of 59?

59 is already prime, so its prime factorization is simply 59. It cannot be broken down any further.

What two numbers multiply to give 59?

There is 1 pair of whole numbers that multiply to 59: 1 × 59.

What is the sum of the factors of 59?

Adding all the factors of 59 together gives 60. Excluding 59 itself, the proper factors sum to 1.

Is 59 a perfect square?

No, 59 is not a perfect square. There is no whole number that multiplies by itself to give 59. The nearest perfect squares are 49 and 64.

What is the largest factor of 59 other than itself?

The largest factor of 59 apart from 59 itself is 1, since 59 ÷ 1 = 59.

How many factors does 59 have?

59 has 2 factors: 1 and 59.

Explore more

Try another number in the factor calculator, break 59 down further with the prime factorization calculator, or compare 59 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.