Factor Calculator

Factors of 1013

The factors of 1013 are 1 and 1013. Since 1013 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 1014, and its prime factorization is simply 1013 itself.

All factors of 1013

Here are all 2 factors of 1013, listed from smallest to largest.

11013

Factor pairs of 1013

There is only one factor pair for 1013, because it is prime.

1 × 1013 = 1013

Prime factorization of 1013

1013 is a prime number, so it cannot be broken down further. Its prime factorization is simply 1013.

Properties of 1013

Number of factors2
Sum of factors1014
Sum of proper factors1
Prime factorization1013
Prime or composite?Prime
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 1013 interesting

  • 1013 is a prime number, so its only factors are 1 and 1013. 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 1013 yourself

Divide 1013 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 √1013 ≈ 31.83, because every factor above that pairs with one below it.

1013 ÷ 1 = 1013 ✓

Reading both columns gives every factor: 1, 1013. The factor calculator does this automatically for any number.

Numbers mathematically connected to 1013.

Frequently asked questions about 1013

What are the factors of 1013?

The factors of 1013 are 1 and 1013. That is 2 factors in total, counting both 1 and 1013.

Is 1013 a prime number?

Yes, 1013 is a prime number. It has exactly two factors: 1 and 1013. No other whole number divides it evenly.

What is the prime factorization of 1013?

1013 is already prime, so its prime factorization is simply 1013. It cannot be broken down any further.

What two numbers multiply to give 1013?

There is 1 pair of whole numbers that multiply to 1013: 1 × 1013.

What is the sum of the factors of 1013?

Adding all the factors of 1013 together gives 1014. Excluding 1013 itself, the proper factors sum to 1.

Is 1013 a perfect square?

No, 1013 is not a perfect square. There is no whole number that multiplies by itself to give 1013. The nearest perfect squares are 961 and 1024.

What is the largest factor of 1013 other than itself?

The largest factor of 1013 apart from 1013 itself is 1, since 1013 ÷ 1 = 1013.

How many factors does 1013 have?

1013 has 2 factors: 1 and 1013.

Explore more

Try another number in the factor calculator, break 1013 down further with the prime factorization calculator, or compare 1013 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.