Factor Calculator

Factors of 73

The factors of 73 are 1 and 73. Since 73 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 74, and its prime factorization is simply 73 itself.

All factors of 73

Here are all 2 factors of 73, listed from smallest to largest.

173

Factor pairs of 73

There is only one factor pair for 73, because it is prime.

1 × 73 = 73

Prime factorization of 73

73 is a prime number, so it cannot be broken down further. Its prime factorization is simply 73.

Properties of 73

Number of factors2
Sum of factors74
Sum of proper factors1
Prime factorization73
Prime or composite?Prime
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 73 interesting

  • 73 is a prime number, so its only factors are 1 and 73. 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 73 yourself

Divide 73 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 √73 ≈ 8.54, because every factor above that pairs with one below it.

73 ÷ 1 = 73 ✓

Reading both columns gives every factor: 1, 73. The factor calculator does this automatically for any number.

Numbers mathematically connected to 73.

Frequently asked questions about 73

What are the factors of 73?

The factors of 73 are 1 and 73. That is 2 factors in total, counting both 1 and 73.

Is 73 a prime number?

Yes, 73 is a prime number. It has exactly two factors: 1 and 73. No other whole number divides it evenly.

What is the prime factorization of 73?

73 is already prime, so its prime factorization is simply 73. It cannot be broken down any further.

What two numbers multiply to give 73?

There is 1 pair of whole numbers that multiply to 73: 1 × 73.

What is the sum of the factors of 73?

Adding all the factors of 73 together gives 74. Excluding 73 itself, the proper factors sum to 1.

Is 73 a perfect square?

No, 73 is not a perfect square. There is no whole number that multiplies by itself to give 73. The nearest perfect squares are 64 and 81.

What is the largest factor of 73 other than itself?

The largest factor of 73 apart from 73 itself is 1, since 73 ÷ 1 = 73.

How many factors does 73 have?

73 has 2 factors: 1 and 73.

Explore more

Try another number in the factor calculator, break 73 down further with the prime factorization calculator, or compare 73 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.