Factor Calculator

Factors of 760

The factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, and 760. In total, 760 has 16 factors. Its prime factorization is 2³ × 5 × 19, and the sum of all its factors is 1800.

All factors of 760

Here are all 16 factors of 760, listed from smallest to largest.

1245810192038407695152190380760

Factor pairs of 760

These 8 pairs of whole numbers each multiply to give 760.

1 × 760 = 760
2 × 380 = 760
4 × 190 = 760
5 × 152 = 760
8 × 95 = 760
10 × 76 = 760
19 × 40 = 760
20 × 38 = 760

Prime factorization of 760

Dividing 760 by the smallest prime at each step gives its prime factorization:

760 ÷ 2 = 380
380 ÷ 2 = 190
190 ÷ 2 = 95
95 ÷ 5 = 19
19 ÷ 19 = 1
Result: 760 = 2 × 2 × 2 × 5 × 19 = 2³ × 5 × 19

The distinct prime factors of 760 are 2, 5, 19. To factorize any other number, use the prime factorization calculator.

Factor tree of 760

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

Factor tree of 76076023802190295519
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 760

Number of factors16
Sum of factors1800
Sum of proper factors1040
Prime factorization2³ × 5 × 19
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 760 interesting

  • 760 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.
  • 760 is an abundant number: its proper factors sum to 1040, which is 280 more than 760 itself.
  • 760 has 3 distinct prime factors (2, 5, 19), which is why it has so many divisors.

How to find the factors of 760 yourself

Divide 760 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 √760 ≈ 27.57, because every factor above that pairs with one below it.

760 ÷ 1 = 760 ✓
760 ÷ 2 = 380 ✓
760 ÷ 4 = 190 ✓
760 ÷ 5 = 152 ✓
760 ÷ 8 = 95 ✓
760 ÷ 10 = 76 ✓
760 ÷ 19 = 40 ✓
760 ÷ 20 = 38 ✓

Reading both columns gives every factor: 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760. The factor calculator does this automatically for any number.

Numbers mathematically connected to 760.

Frequently asked questions about 760

What are the factors of 760?

The factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, and 760. That is 16 factors in total, counting both 1 and 760.

Is 760 a prime number?

No, 760 is not prime — it is a composite number with 16 factors. A prime number has exactly two factors, but 760 is also divisible by 2.

What is the prime factorization of 760?

The prime factorization of 760 is 2³ × 5 × 19. Written out in full: 2 × 2 × 2 × 5 × 19 = 760. Its distinct prime factors are 2, 5, 19.

What two numbers multiply to give 760?

There are 8 pairs of whole numbers that multiply to 760: 1 × 760, 2 × 380, 4 × 190, 5 × 152, 8 × 95, 10 × 76, 19 × 40, 20 × 38.

What is the sum of the factors of 760?

Adding all the factors of 760 together gives 1800. Excluding 760 itself, the proper factors sum to 1040.

Is 760 a perfect square?

No, 760 is not a perfect square. There is no whole number that multiplies by itself to give 760. The nearest perfect squares are 729 and 784.

What is the largest factor of 760 other than itself?

The largest factor of 760 apart from 760 itself is 380, since 760 ÷ 380 = 2.

How many factors does 760 have?

760 has 16 factors: 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, and 760. You can verify this from the prime factorization 2³ × 5 × 19: add 1 to each exponent and multiply, giving 4 × 2 × 2 = 16.

Explore more

Try another number in the factor calculator, break 760 down further with the prime factorization calculator, or compare 760 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.