Factor Calculator

Factors of 74

The factors of 74 are 1, 2, 37, and 74. In total, 74 has 4 factors. Its prime factorization is 2 × 37, and the sum of all its factors is 114.

All factors of 74

Here are all 4 factors of 74, listed from smallest to largest.

123774

Factor pairs of 74

These 2 pairs of whole numbers each multiply to give 74.

1 × 74 = 74
2 × 37 = 74

Prime factorization of 74

Dividing 74 by the smallest prime at each step gives its prime factorization:

74 ÷ 2 = 37
37 ÷ 37 = 1
Result: 74 = 2 × 37 = 2 × 37

The distinct prime factors of 74 are 2, 37. To factorize any other number, use the prime factorization calculator.

Factor tree of 74

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

Factor tree of 7474237
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 74

Number of factors4
Sum of factors114
Sum of proper factors40
Prime factorization2 × 37
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 74 interesting

  • 74 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.
  • 74 is a deficient number: its proper factors sum to 40, which is 34 less than 74 itself.

How to find the factors of 74 yourself

Divide 74 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 √74 ≈ 8.60, because every factor above that pairs with one below it.

74 ÷ 1 = 74 ✓
74 ÷ 2 = 37 ✓

Reading both columns gives every factor: 1, 2, 37, 74. The factor calculator does this automatically for any number.

Numbers mathematically connected to 74.

Frequently asked questions about 74

What are the factors of 74?

The factors of 74 are 1, 2, 37, and 74. That is 4 factors in total, counting both 1 and 74.

Is 74 a prime number?

No, 74 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 74 is also divisible by 2.

What is the prime factorization of 74?

The prime factorization of 74 is 2 × 37. Written out in full: 2 × 37 = 74. Its distinct prime factors are 2, 37.

What two numbers multiply to give 74?

There are 2 pairs of whole numbers that multiply to 74: 1 × 74, 2 × 37.

What is the sum of the factors of 74?

Adding all the factors of 74 together gives 114. Excluding 74 itself, the proper factors sum to 40.

Is 74 a perfect square?

No, 74 is not a perfect square. There is no whole number that multiplies by itself to give 74. The nearest perfect squares are 64 and 81.

What is the largest factor of 74 other than itself?

The largest factor of 74 apart from 74 itself is 37, since 74 ÷ 37 = 2.

How many factors does 74 have?

74 has 4 factors: 1, 2, 37, and 74. You can verify this from the prime factorization 2 × 37: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 74 down further with the prime factorization calculator, or compare 74 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.