Factor Calculator

Factors of 521

The factors of 521 are 1 and 521. Since 521 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 522, and its prime factorization is simply 521 itself.

All factors of 521

Here are all 2 factors of 521, listed from smallest to largest.

1521

Factor pairs of 521

There is only one factor pair for 521, because it is prime.

1 × 521 = 521

Prime factorization of 521

521 is a prime number, so it cannot be broken down further. Its prime factorization is simply 521.

Properties of 521

Number of factors2
Sum of factors522
Sum of proper factors1
Prime factorization521
Prime or composite?Prime
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 521 interesting

  • 521 is a prime number, so its only factors are 1 and 521. 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 521 yourself

Divide 521 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 √521 ≈ 22.83, because every factor above that pairs with one below it.

521 ÷ 1 = 521 ✓

Reading both columns gives every factor: 1, 521. The factor calculator does this automatically for any number.

Numbers mathematically connected to 521.

Frequently asked questions about 521

What are the factors of 521?

The factors of 521 are 1 and 521. That is 2 factors in total, counting both 1 and 521.

Is 521 a prime number?

Yes, 521 is a prime number. It has exactly two factors: 1 and 521. No other whole number divides it evenly.

What is the prime factorization of 521?

521 is already prime, so its prime factorization is simply 521. It cannot be broken down any further.

What two numbers multiply to give 521?

There is 1 pair of whole numbers that multiply to 521: 1 × 521.

What is the sum of the factors of 521?

Adding all the factors of 521 together gives 522. Excluding 521 itself, the proper factors sum to 1.

Is 521 a perfect square?

No, 521 is not a perfect square. There is no whole number that multiplies by itself to give 521. The nearest perfect squares are 484 and 529.

What is the largest factor of 521 other than itself?

The largest factor of 521 apart from 521 itself is 1, since 521 ÷ 1 = 521.

How many factors does 521 have?

521 has 2 factors: 1 and 521.

Explore more

Try another number in the factor calculator, break 521 down further with the prime factorization calculator, or compare 521 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.