Factor Calculator

Factors of 1021

The factors of 1021 are 1 and 1021. Since 1021 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 1022, and its prime factorization is simply 1021 itself.

All factors of 1021

Here are all 2 factors of 1021, listed from smallest to largest.

11021

Factor pairs of 1021

There is only one factor pair for 1021, because it is prime.

1 × 1021 = 1021

Prime factorization of 1021

1021 is a prime number, so it cannot be broken down further. Its prime factorization is simply 1021.

Properties of 1021

Number of factors2
Sum of factors1022
Sum of proper factors1
Prime factorization1021
Prime or composite?Prime
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 1021 interesting

  • 1021 is a prime number, so its only factors are 1 and 1021. 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 1021 yourself

Divide 1021 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 √1021 ≈ 31.95, because every factor above that pairs with one below it.

1021 ÷ 1 = 1021 ✓

Reading both columns gives every factor: 1, 1021. The factor calculator does this automatically for any number.

Numbers mathematically connected to 1021.

Frequently asked questions about 1021

What are the factors of 1021?

The factors of 1021 are 1 and 1021. That is 2 factors in total, counting both 1 and 1021.

Is 1021 a prime number?

Yes, 1021 is a prime number. It has exactly two factors: 1 and 1021. No other whole number divides it evenly.

What is the prime factorization of 1021?

1021 is already prime, so its prime factorization is simply 1021. It cannot be broken down any further.

What two numbers multiply to give 1021?

There is 1 pair of whole numbers that multiply to 1021: 1 × 1021.

What is the sum of the factors of 1021?

Adding all the factors of 1021 together gives 1022. Excluding 1021 itself, the proper factors sum to 1.

Is 1021 a perfect square?

No, 1021 is not a perfect square. There is no whole number that multiplies by itself to give 1021. The nearest perfect squares are 961 and 1024.

What is the largest factor of 1021 other than itself?

The largest factor of 1021 apart from 1021 itself is 1, since 1021 ÷ 1 = 1021.

How many factors does 1021 have?

1021 has 2 factors: 1 and 1021.

Explore more

Try another number in the factor calculator, break 1021 down further with the prime factorization calculator, or compare 1021 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.