Factor Calculator

Factors of 167

The factors of 167 are 1 and 167. Since 167 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 168, and its prime factorization is simply 167 itself.

All factors of 167

Here are all 2 factors of 167, listed from smallest to largest.

1167

Factor pairs of 167

There is only one factor pair for 167, because it is prime.

1 × 167 = 167

Prime factorization of 167

167 is a prime number, so it cannot be broken down further. Its prime factorization is simply 167.

Properties of 167

Number of factors2
Sum of factors168
Sum of proper factors1
Prime factorization167
Prime or composite?Prime
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 167 interesting

  • 167 is a prime number, so its only factors are 1 and 167. 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 167 yourself

Divide 167 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 √167 ≈ 12.92, because every factor above that pairs with one below it.

167 ÷ 1 = 167 ✓

Reading both columns gives every factor: 1, 167. The factor calculator does this automatically for any number.

Numbers mathematically connected to 167.

Frequently asked questions about 167

What are the factors of 167?

The factors of 167 are 1 and 167. That is 2 factors in total, counting both 1 and 167.

Is 167 a prime number?

Yes, 167 is a prime number. It has exactly two factors: 1 and 167. No other whole number divides it evenly.

What is the prime factorization of 167?

167 is already prime, so its prime factorization is simply 167. It cannot be broken down any further.

What two numbers multiply to give 167?

There is 1 pair of whole numbers that multiply to 167: 1 × 167.

What is the sum of the factors of 167?

Adding all the factors of 167 together gives 168. Excluding 167 itself, the proper factors sum to 1.

Is 167 a perfect square?

No, 167 is not a perfect square. There is no whole number that multiplies by itself to give 167. The nearest perfect squares are 144 and 169.

What is the largest factor of 167 other than itself?

The largest factor of 167 apart from 167 itself is 1, since 167 ÷ 1 = 167.

How many factors does 167 have?

167 has 2 factors: 1 and 167.

Explore more

Try another number in the factor calculator, break 167 down further with the prime factorization calculator, or compare 167 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.