Factor Calculator

Factors of 127

The factors of 127 are 1 and 127. Since 127 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 128, and its prime factorization is simply 127 itself.

All factors of 127

Here are all 2 factors of 127, listed from smallest to largest.

1127

Factor pairs of 127

There is only one factor pair for 127, because it is prime.

1 × 127 = 127

Prime factorization of 127

127 is a prime number, so it cannot be broken down further. Its prime factorization is simply 127.

Properties of 127

Number of factors2
Sum of factors128
Sum of proper factors1
Prime factorization127
Prime or composite?Prime
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 127 interesting

  • 127 is a prime number, so its only factors are 1 and 127. 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 127 yourself

Divide 127 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 √127 ≈ 11.27, because every factor above that pairs with one below it.

127 ÷ 1 = 127 ✓

Reading both columns gives every factor: 1, 127. The factor calculator does this automatically for any number.

Numbers mathematically connected to 127.

Frequently asked questions about 127

What are the factors of 127?

The factors of 127 are 1 and 127. That is 2 factors in total, counting both 1 and 127.

Is 127 a prime number?

Yes, 127 is a prime number. It has exactly two factors: 1 and 127. No other whole number divides it evenly.

What is the prime factorization of 127?

127 is already prime, so its prime factorization is simply 127. It cannot be broken down any further.

What two numbers multiply to give 127?

There is 1 pair of whole numbers that multiply to 127: 1 × 127.

What is the sum of the factors of 127?

Adding all the factors of 127 together gives 128. Excluding 127 itself, the proper factors sum to 1.

Is 127 a perfect square?

No, 127 is not a perfect square. There is no whole number that multiplies by itself to give 127. The nearest perfect squares are 121 and 144.

What is the largest factor of 127 other than itself?

The largest factor of 127 apart from 127 itself is 1, since 127 ÷ 1 = 127.

How many factors does 127 have?

127 has 2 factors: 1 and 127.

Explore more

Try another number in the factor calculator, break 127 down further with the prime factorization calculator, or compare 127 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.