Factor Calculator

Factors of 509

The factors of 509 are 1 and 509. Since 509 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 510, and its prime factorization is simply 509 itself.

All factors of 509

Here are all 2 factors of 509, listed from smallest to largest.

1509

Factor pairs of 509

There is only one factor pair for 509, because it is prime.

1 × 509 = 509

Prime factorization of 509

509 is a prime number, so it cannot be broken down further. Its prime factorization is simply 509.

Properties of 509

Number of factors2
Sum of factors510
Sum of proper factors1
Prime factorization509
Prime or composite?Prime
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 509 interesting

  • 509 is a prime number, so its only factors are 1 and 509. 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 509 yourself

Divide 509 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 √509 ≈ 22.56, because every factor above that pairs with one below it.

509 ÷ 1 = 509 ✓

Reading both columns gives every factor: 1, 509. The factor calculator does this automatically for any number.

Numbers mathematically connected to 509.

Frequently asked questions about 509

What are the factors of 509?

The factors of 509 are 1 and 509. That is 2 factors in total, counting both 1 and 509.

Is 509 a prime number?

Yes, 509 is a prime number. It has exactly two factors: 1 and 509. No other whole number divides it evenly.

What is the prime factorization of 509?

509 is already prime, so its prime factorization is simply 509. It cannot be broken down any further.

What two numbers multiply to give 509?

There is 1 pair of whole numbers that multiply to 509: 1 × 509.

What is the sum of the factors of 509?

Adding all the factors of 509 together gives 510. Excluding 509 itself, the proper factors sum to 1.

Is 509 a perfect square?

No, 509 is not a perfect square. There is no whole number that multiplies by itself to give 509. The nearest perfect squares are 484 and 529.

What is the largest factor of 509 other than itself?

The largest factor of 509 apart from 509 itself is 1, since 509 ÷ 1 = 509.

How many factors does 509 have?

509 has 2 factors: 1 and 509.

Explore more

Try another number in the factor calculator, break 509 down further with the prime factorization calculator, or compare 509 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.