Factor Calculator

Factors of 67

The factors of 67 are 1 and 67. Since 67 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 68, and its prime factorization is simply 67 itself.

All factors of 67

Here are all 2 factors of 67, listed from smallest to largest.

167

Factor pairs of 67

There is only one factor pair for 67, because it is prime.

1 × 67 = 67

Prime factorization of 67

67 is a prime number, so it cannot be broken down further. Its prime factorization is simply 67.

Properties of 67

Number of factors2
Sum of factors68
Sum of proper factors1
Prime factorization67
Prime or composite?Prime
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 67 interesting

  • 67 is a prime number, so its only factors are 1 and 67. 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 67 yourself

Divide 67 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 √67 ≈ 8.19, because every factor above that pairs with one below it.

67 ÷ 1 = 67 ✓

Reading both columns gives every factor: 1, 67. The factor calculator does this automatically for any number.

Numbers mathematically connected to 67.

Frequently asked questions about 67

What are the factors of 67?

The factors of 67 are 1 and 67. That is 2 factors in total, counting both 1 and 67.

Is 67 a prime number?

Yes, 67 is a prime number. It has exactly two factors: 1 and 67. No other whole number divides it evenly.

What is the prime factorization of 67?

67 is already prime, so its prime factorization is simply 67. It cannot be broken down any further.

What two numbers multiply to give 67?

There is 1 pair of whole numbers that multiply to 67: 1 × 67.

What is the sum of the factors of 67?

Adding all the factors of 67 together gives 68. Excluding 67 itself, the proper factors sum to 1.

Is 67 a perfect square?

No, 67 is not a perfect square. There is no whole number that multiplies by itself to give 67. The nearest perfect squares are 64 and 81.

What is the largest factor of 67 other than itself?

The largest factor of 67 apart from 67 itself is 1, since 67 ÷ 1 = 67.

How many factors does 67 have?

67 has 2 factors: 1 and 67.

Explore more

Try another number in the factor calculator, break 67 down further with the prime factorization calculator, or compare 67 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.