Factor Calculator

Factors of 750

The factors of 750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, and 750. In total, 750 has 16 factors. Its prime factorization is 2 × 3 × 5³, and the sum of all its factors is 1872.

All factors of 750

Here are all 16 factors of 750, listed from smallest to largest.

12356101525305075125150250375750

Factor pairs of 750

These 8 pairs of whole numbers each multiply to give 750.

1 × 750 = 750
2 × 375 = 750
3 × 250 = 750
5 × 150 = 750
6 × 125 = 750
10 × 75 = 750
15 × 50 = 750
25 × 30 = 750

Prime factorization of 750

Dividing 750 by the smallest prime at each step gives its prime factorization:

750 ÷ 2 = 375
375 ÷ 3 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
Result: 750 = 2 × 3 × 5 × 5 × 5 = 2 × 3 × 5³

The distinct prime factors of 750 are 2, 3, 5. To factorize any other number, use the prime factorization calculator.

Factor tree of 750

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

Factor tree of 7507502375312552555
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 750

Number of factors16
Sum of factors1872
Sum of proper factors1122
Prime factorization2 × 3 × 5³
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 750 interesting

  • 750 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 8 different ways.
  • 750 is an abundant number: its proper factors sum to 1122, which is 372 more than 750 itself.
  • 750 has 3 distinct prime factors (2, 3, 5), which is why it has so many divisors.

How to find the factors of 750 yourself

Divide 750 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 √750 ≈ 27.39, because every factor above that pairs with one below it.

750 ÷ 1 = 750 ✓
750 ÷ 2 = 375 ✓
750 ÷ 3 = 250 ✓
750 ÷ 5 = 150 ✓
750 ÷ 6 = 125 ✓
750 ÷ 10 = 75 ✓
750 ÷ 15 = 50 ✓
750 ÷ 25 = 30 ✓

Reading both columns gives every factor: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750. The factor calculator does this automatically for any number.

Numbers mathematically connected to 750.

Frequently asked questions about 750

What are the factors of 750?

The factors of 750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, and 750. That is 16 factors in total, counting both 1 and 750.

Is 750 a prime number?

No, 750 is not prime — it is a composite number with 16 factors. A prime number has exactly two factors, but 750 is also divisible by 2.

What is the prime factorization of 750?

The prime factorization of 750 is 2 × 3 × 5³. Written out in full: 2 × 3 × 5 × 5 × 5 = 750. Its distinct prime factors are 2, 3, 5.

What two numbers multiply to give 750?

There are 8 pairs of whole numbers that multiply to 750: 1 × 750, 2 × 375, 3 × 250, 5 × 150, 6 × 125, 10 × 75, 15 × 50, 25 × 30.

What is the sum of the factors of 750?

Adding all the factors of 750 together gives 1872. Excluding 750 itself, the proper factors sum to 1122.

Is 750 a perfect square?

No, 750 is not a perfect square. There is no whole number that multiplies by itself to give 750. The nearest perfect squares are 729 and 784.

What is the largest factor of 750 other than itself?

The largest factor of 750 apart from 750 itself is 375, since 750 ÷ 375 = 2.

How many factors does 750 have?

750 has 16 factors: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, and 750. You can verify this from the prime factorization 2 × 3 × 5³: add 1 to each exponent and multiply, giving 2 × 2 × 4 = 16.

Explore more

Try another number in the factor calculator, break 750 down further with the prime factorization calculator, or compare 750 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.