Factor Calculator

Factors of 71

The factors of 71 are 1 and 71. Since 71 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 72, and its prime factorization is simply 71 itself.

All factors of 71

Here are all 2 factors of 71, listed from smallest to largest.

171

Factor pairs of 71

There is only one factor pair for 71, because it is prime.

1 × 71 = 71

Prime factorization of 71

71 is a prime number, so it cannot be broken down further. Its prime factorization is simply 71.

Properties of 71

Number of factors2
Sum of factors72
Sum of proper factors1
Prime factorization71
Prime or composite?Prime
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 71 interesting

  • 71 is a prime number, so its only factors are 1 and 71. 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 71 yourself

Divide 71 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 √71 ≈ 8.43, because every factor above that pairs with one below it.

71 ÷ 1 = 71 ✓

Reading both columns gives every factor: 1, 71. The factor calculator does this automatically for any number.

Numbers mathematically connected to 71.

Frequently asked questions about 71

What are the factors of 71?

The factors of 71 are 1 and 71. That is 2 factors in total, counting both 1 and 71.

Is 71 a prime number?

Yes, 71 is a prime number. It has exactly two factors: 1 and 71. No other whole number divides it evenly.

What is the prime factorization of 71?

71 is already prime, so its prime factorization is simply 71. It cannot be broken down any further.

What two numbers multiply to give 71?

There is 1 pair of whole numbers that multiply to 71: 1 × 71.

What is the sum of the factors of 71?

Adding all the factors of 71 together gives 72. Excluding 71 itself, the proper factors sum to 1.

Is 71 a perfect square?

No, 71 is not a perfect square. There is no whole number that multiplies by itself to give 71. The nearest perfect squares are 64 and 81.

What is the largest factor of 71 other than itself?

The largest factor of 71 apart from 71 itself is 1, since 71 ÷ 1 = 71.

How many factors does 71 have?

71 has 2 factors: 1 and 71.

Explore more

Try another number in the factor calculator, break 71 down further with the prime factorization calculator, or compare 71 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.