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.
Factor pairs of 749
These 2 pairs of whole numbers each multiply to give 749.
Prime factorization of 749
Dividing 749 by the smallest prime at each step gives its prime factorization:
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.
Properties of 749
| Number of factors | 4 |
|---|---|
| Sum of factors | 864 |
| Sum of proper factors | 115 |
| Prime factorization | 7 × 107 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
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 √749 ≈ 27.37, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 7, 107, 749. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 749.
Frequently asked questions about 749
What are the factors of 749?
Is 749 a prime number?
What is the prime factorization of 749?
What two numbers multiply to give 749?
What is the sum of the factors of 749?
Is 749 a perfect square?
What is the largest factor of 749 other than itself?
How many factors does 749 have?
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.