Factor Calculator

Factors of 740

The factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, and 740. In total, 740 has 12 factors. Its prime factorization is 2² × 5 × 37, and the sum of all its factors is 1596.

All factors of 740

Here are all 12 factors of 740, listed from smallest to largest.

124510203774148185370740

Factor pairs of 740

These 6 pairs of whole numbers each multiply to give 740.

1 × 740 = 740
2 × 370 = 740
4 × 185 = 740
5 × 148 = 740
10 × 74 = 740
20 × 37 = 740

Prime factorization of 740

Dividing 740 by the smallest prime at each step gives its prime factorization:

740 ÷ 2 = 370
370 ÷ 2 = 185
185 ÷ 5 = 37
37 ÷ 37 = 1
Result: 740 = 2 × 2 × 5 × 37 = 2² × 5 × 37

The distinct prime factors of 740 are 2, 5, 37. To factorize any other number, use the prime factorization calculator.

Factor tree of 740

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

Factor tree of 74074023702185537
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 740

Number of factors12
Sum of factors1596
Sum of proper factors856
Prime factorization2² × 5 × 37
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 740 interesting

  • 740 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 6 different ways.
  • 740 is an abundant number: its proper factors sum to 856, which is 116 more than 740 itself.
  • 740 has 3 distinct prime factors (2, 5, 37), which is why it has so many divisors.

How to find the factors of 740 yourself

Divide 740 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 √740 ≈ 27.20, because every factor above that pairs with one below it.

740 ÷ 1 = 740 ✓
740 ÷ 2 = 370 ✓
740 ÷ 4 = 185 ✓
740 ÷ 5 = 148 ✓
740 ÷ 10 = 74 ✓
740 ÷ 20 = 37 ✓

Reading both columns gives every factor: 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740. The factor calculator does this automatically for any number.

Numbers mathematically connected to 740.

Frequently asked questions about 740

What are the factors of 740?

The factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, and 740. That is 12 factors in total, counting both 1 and 740.

Is 740 a prime number?

No, 740 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 740 is also divisible by 2.

What is the prime factorization of 740?

The prime factorization of 740 is 2² × 5 × 37. Written out in full: 2 × 2 × 5 × 37 = 740. Its distinct prime factors are 2, 5, 37.

What two numbers multiply to give 740?

There are 6 pairs of whole numbers that multiply to 740: 1 × 740, 2 × 370, 4 × 185, 5 × 148, 10 × 74, 20 × 37.

What is the sum of the factors of 740?

Adding all the factors of 740 together gives 1596. Excluding 740 itself, the proper factors sum to 856.

Is 740 a perfect square?

No, 740 is not a perfect square. There is no whole number that multiplies by itself to give 740. The nearest perfect squares are 729 and 784.

What is the largest factor of 740 other than itself?

The largest factor of 740 apart from 740 itself is 370, since 740 ÷ 370 = 2.

How many factors does 740 have?

740 has 12 factors: 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, and 740. You can verify this from the prime factorization 2² × 5 × 37: add 1 to each exponent and multiply, giving 3 × 2 × 2 = 12.

Explore more

Try another number in the factor calculator, break 740 down further with the prime factorization calculator, or compare 740 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.