Factor Calculator

Factors of 754

The factors of 754 are 1, 2, 13, 26, 29, 58, 377, and 754. In total, 754 has 8 factors. Its prime factorization is 2 × 13 × 29, and the sum of all its factors is 1260.

All factors of 754

Here are all 8 factors of 754, listed from smallest to largest.

1213262958377754

Factor pairs of 754

These 4 pairs of whole numbers each multiply to give 754.

1 × 754 = 754
2 × 377 = 754
13 × 58 = 754
26 × 29 = 754

Prime factorization of 754

Dividing 754 by the smallest prime at each step gives its prime factorization:

754 ÷ 2 = 377
377 ÷ 13 = 29
29 ÷ 29 = 1
Result: 754 = 2 × 13 × 29 = 2 × 13 × 29

The distinct prime factors of 754 are 2, 13, 29. To factorize any other number, use the prime factorization calculator.

Factor tree of 754

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

Factor tree of 75475423771329
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 754

Number of factors8
Sum of factors1260
Sum of proper factors506
Prime factorization2 × 13 × 29
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 754 interesting

  • 754 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
  • 754 is a deficient number: its proper factors sum to 506, which is 248 less than 754 itself.
  • 754 has 3 distinct prime factors (2, 13, 29), which is why it has so many divisors.

How to find the factors of 754 yourself

Divide 754 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 √75427.46, because every factor above that pairs with one below it.

754 ÷ 1 = 754
754 ÷ 2 = 377
754 ÷ 13 = 58
754 ÷ 26 = 29

Reading both columns gives every factor: 1, 2, 13, 26, 29, 58, 377, 754. The factor calculator does this automatically for any number.

Frequently asked questions about 754

What are the factors of 754?

The factors of 754 are 1, 2, 13, 26, 29, 58, 377, and 754. That is 8 factors in total, counting both 1 and 754.

Is 754 a prime number?

No, 754 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 754 is also divisible by 2.

What is the prime factorization of 754?

The prime factorization of 754 is 2 × 13 × 29. Written out in full: 2 × 13 × 29 = 754. Its distinct prime factors are 2, 13, 29.

What two numbers multiply to give 754?

There are 4 pairs of whole numbers that multiply to 754: 1 × 754, 2 × 377, 13 × 58, 26 × 29.

What is the sum of the factors of 754?

Adding all the factors of 754 together gives 1260. Excluding 754 itself, the proper factors sum to 506.

Is 754 a perfect square?

No, 754 is not a perfect square. There is no whole number that multiplies by itself to give 754. The nearest perfect squares are 729 and 784.

What is the largest factor of 754 other than itself?

The largest factor of 754 apart from 754 itself is 377, since 754 ÷ 377 = 2.

How many factors does 754 have?

754 has 8 factors: 1, 2, 13, 26, 29, 58, 377, and 754. You can verify this from the prime factorization 2 × 13 × 29: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 754 down further with the prime factorization calculator, or compare 754 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.