Factor Calculator

Factors of 359

The factors of 359 are 1 and 359. Since 359 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 360, and its prime factorization is simply 359 itself.

All factors of 359

Here are all 2 factors of 359, listed from smallest to largest.

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Factor pairs of 359

There is only one factor pair for 359, because it is prime.

1 × 359 = 359

Prime factorization of 359

359 is a prime number, so it cannot be broken down further. Its prime factorization is simply 359.

Properties of 359

Number of factors2
Sum of factors360
Sum of proper factors1
Prime factorization359
Prime or composite?Prime
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 359 interesting

  • 359 is a prime number, so its only factors are 1 and 359. 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 359 yourself

Divide 359 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 √35918.95, because every factor above that pairs with one below it.

359 ÷ 1 = 359

Reading both columns gives every factor: 1, 359. The factor calculator does this automatically for any number.

Frequently asked questions about 359

What are the factors of 359?

The factors of 359 are 1 and 359. That is 2 factors in total, counting both 1 and 359.

Is 359 a prime number?

Yes, 359 is a prime number. It has exactly two factors: 1 and 359. No other whole number divides it evenly.

What is the prime factorization of 359?

359 is already prime, so its prime factorization is simply 359. It cannot be broken down any further.

What two numbers multiply to give 359?

There is 1 pair of whole numbers that multiply to 359: 1 × 359.

What is the sum of the factors of 359?

Adding all the factors of 359 together gives 360. Excluding 359 itself, the proper factors sum to 1.

Is 359 a perfect square?

No, 359 is not a perfect square. There is no whole number that multiplies by itself to give 359. The nearest perfect squares are 324 and 361.

What is the largest factor of 359 other than itself?

The largest factor of 359 apart from 359 itself is 1, since 359 ÷ 1 = 359.

How many factors does 359 have?

359 has 2 factors: 1 and 359.

Explore more

Try another number in the factor calculator, break 359 down further with the prime factorization calculator, or compare 359 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.