Factor Calculator

Factors of 401

The factors of 401 are 1 and 401. Since 401 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 402, and its prime factorization is simply 401 itself.

All factors of 401

Here are all 2 factors of 401, listed from smallest to largest.

1401

Factor pairs of 401

There is only one factor pair for 401, because it is prime.

1 × 401 = 401

Prime factorization of 401

401 is a prime number, so it cannot be broken down further. Its prime factorization is simply 401.

Properties of 401

Number of factors2
Sum of factors402
Sum of proper factors1
Prime factorization401
Prime or composite?Prime
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 401 interesting

  • 401 is a prime number, so its only factors are 1 and 401. 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 401 yourself

Divide 401 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 √401 ≈ 20.02, because every factor above that pairs with one below it.

401 ÷ 1 = 401 ✓

Reading both columns gives every factor: 1, 401. The factor calculator does this automatically for any number.

Numbers mathematically connected to 401.

Frequently asked questions about 401

What are the factors of 401?

The factors of 401 are 1 and 401. That is 2 factors in total, counting both 1 and 401.

Is 401 a prime number?

Yes, 401 is a prime number. It has exactly two factors: 1 and 401. No other whole number divides it evenly.

What is the prime factorization of 401?

401 is already prime, so its prime factorization is simply 401. It cannot be broken down any further.

What two numbers multiply to give 401?

There is 1 pair of whole numbers that multiply to 401: 1 × 401.

What is the sum of the factors of 401?

Adding all the factors of 401 together gives 402. Excluding 401 itself, the proper factors sum to 1.

Is 401 a perfect square?

No, 401 is not a perfect square. There is no whole number that multiplies by itself to give 401. The nearest perfect squares are 400 and 441.

What is the largest factor of 401 other than itself?

The largest factor of 401 apart from 401 itself is 1, since 401 ÷ 1 = 401.

How many factors does 401 have?

401 has 2 factors: 1 and 401.

Explore more

Try another number in the factor calculator, break 401 down further with the prime factorization calculator, or compare 401 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.