Factor Calculator

Factors of 61

The factors of 61 are 1 and 61. Since 61 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 62, and its prime factorization is simply 61 itself.

All factors of 61

Here are all 2 factors of 61, listed from smallest to largest.

161

Factor pairs of 61

There is only one factor pair for 61, because it is prime.

1 × 61 = 61

Prime factorization of 61

61 is a prime number, so it cannot be broken down further. Its prime factorization is simply 61.

Properties of 61

Number of factors2
Sum of factors62
Sum of proper factors1
Prime factorization61
Prime or composite?Prime
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 61 interesting

  • 61 is a prime number, so its only factors are 1 and 61. 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 61 yourself

Divide 61 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 √61 ≈ 7.81, because every factor above that pairs with one below it.

61 ÷ 1 = 61 ✓

Reading both columns gives every factor: 1, 61. The factor calculator does this automatically for any number.

Numbers mathematically connected to 61.

Frequently asked questions about 61

What are the factors of 61?

The factors of 61 are 1 and 61. That is 2 factors in total, counting both 1 and 61.

Is 61 a prime number?

Yes, 61 is a prime number. It has exactly two factors: 1 and 61. No other whole number divides it evenly.

What is the prime factorization of 61?

61 is already prime, so its prime factorization is simply 61. It cannot be broken down any further.

What two numbers multiply to give 61?

There is 1 pair of whole numbers that multiply to 61: 1 × 61.

What is the sum of the factors of 61?

Adding all the factors of 61 together gives 62. Excluding 61 itself, the proper factors sum to 1.

Is 61 a perfect square?

No, 61 is not a perfect square. There is no whole number that multiplies by itself to give 61. The nearest perfect squares are 49 and 64.

What is the largest factor of 61 other than itself?

The largest factor of 61 apart from 61 itself is 1, since 61 ÷ 1 = 61.

How many factors does 61 have?

61 has 2 factors: 1 and 61.

Explore more

Try another number in the factor calculator, break 61 down further with the prime factorization calculator, or compare 61 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.