Factor Calculator

Factors of 749

The factors of 749 are 1, 7, 107, and 749. In total, 749 has 4 factors. Its prime factorization is 7 × 107, and the sum of all its factors is 864.

All factors of 749

Here are all 4 factors of 749, listed from smallest to largest.

17107749

Factor pairs of 749

These 2 pairs of whole numbers each multiply to give 749.

1 × 749 = 749
7 × 107 = 749

Prime factorization of 749

Dividing 749 by the smallest prime at each step gives its prime factorization:

749 ÷ 7 = 107
107 ÷ 107 = 1
Result: 749 = 7 × 107 = 7 × 107

The distinct prime factors of 749 are 7, 107. To factorize any other number, use the prime factorization calculator.

Factor tree of 749

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

Factor tree of 7497497107
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 749

Number of factors4
Sum of factors864
Sum of proper factors115
Prime factorization7 × 107
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 749 interesting

  • 749 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.
  • 749 is a deficient number: its proper factors sum to 115, which is 634 less than 749 itself.

How to find the factors of 749 yourself

Divide 749 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 √74927.37, because every factor above that pairs with one below it.

749 ÷ 1 = 749
749 ÷ 7 = 107

Reading both columns gives every factor: 1, 7, 107, 749. The factor calculator does this automatically for any number.

Frequently asked questions about 749

What are the factors of 749?

The factors of 749 are 1, 7, 107, and 749. That is 4 factors in total, counting both 1 and 749.

Is 749 a prime number?

No, 749 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 749 is also divisible by 7.

What is the prime factorization of 749?

The prime factorization of 749 is 7 × 107. Written out in full: 7 × 107 = 749. Its distinct prime factors are 7, 107.

What two numbers multiply to give 749?

There are 2 pairs of whole numbers that multiply to 749: 1 × 749, 7 × 107.

What is the sum of the factors of 749?

Adding all the factors of 749 together gives 864. Excluding 749 itself, the proper factors sum to 115.

Is 749 a perfect square?

No, 749 is not a perfect square. There is no whole number that multiplies by itself to give 749. The nearest perfect squares are 729 and 784.

What is the largest factor of 749 other than itself?

The largest factor of 749 apart from 749 itself is 107, since 749 ÷ 107 = 7.

How many factors does 749 have?

749 has 4 factors: 1, 7, 107, and 749. You can verify this from the prime factorization 7 × 107: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 749 down further with the prime factorization calculator, or compare 749 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.