Factor Calculator

Factors of 745

The factors of 745 are 1, 5, 149, and 745. In total, 745 has 4 factors. Its prime factorization is 5 × 149, and the sum of all its factors is 900.

All factors of 745

Here are all 4 factors of 745, listed from smallest to largest.

15149745

Factor pairs of 745

These 2 pairs of whole numbers each multiply to give 745.

1 × 745 = 745
5 × 149 = 745

Prime factorization of 745

Dividing 745 by the smallest prime at each step gives its prime factorization:

745 ÷ 5 = 149
149 ÷ 149 = 1
Result: 745 = 5 × 149 = 5 × 149

The distinct prime factors of 745 are 5, 149. To factorize any other number, use the prime factorization calculator.

Factor tree of 745

A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.

Factor tree of 7457455149
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 745

Number of factors4
Sum of factors900
Sum of proper factors155
Prime factorization5 × 149
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 745 interesting

  • 745 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
  • 745 is a deficient number: its proper factors sum to 155, which is 590 less than 745 itself.

How to find the factors of 745 yourself

Divide 745 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 √74527.29, because every factor above that pairs with one below it.

745 ÷ 1 = 745
745 ÷ 5 = 149

Reading both columns gives every factor: 1, 5, 149, 745. The factor calculator does this automatically for any number.

Frequently asked questions about 745

What are the factors of 745?

The factors of 745 are 1, 5, 149, and 745. That is 4 factors in total, counting both 1 and 745.

Is 745 a prime number?

No, 745 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 745 is also divisible by 5.

What is the prime factorization of 745?

The prime factorization of 745 is 5 × 149. Written out in full: 5 × 149 = 745. Its distinct prime factors are 5, 149.

What two numbers multiply to give 745?

There are 2 pairs of whole numbers that multiply to 745: 1 × 745, 5 × 149.

What is the sum of the factors of 745?

Adding all the factors of 745 together gives 900. Excluding 745 itself, the proper factors sum to 155.

Is 745 a perfect square?

No, 745 is not a perfect square. There is no whole number that multiplies by itself to give 745. The nearest perfect squares are 729 and 784.

What is the largest factor of 745 other than itself?

The largest factor of 745 apart from 745 itself is 149, since 745 ÷ 149 = 5.

How many factors does 745 have?

745 has 4 factors: 1, 5, 149, and 745. You can verify this from the prime factorization 5 × 149: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 745 down further with the prime factorization calculator, or compare 745 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.