Factors of 734
The factors of 734 are 1, 2, 367, and 734. In total, 734 has 4 factors. Its prime factorization is 2 × 367, and the sum of all its factors is 1104.
All factors of 734
Here are all 4 factors of 734, listed from smallest to largest.
Factor pairs of 734
These 2 pairs of whole numbers each multiply to give 734.
Prime factorization of 734
Dividing 734 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 734 are 2, 367. To factorize any other number, use the prime factorization calculator.
Factor tree of 734
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 734
| Number of factors | 4 |
|---|---|
| Sum of factors | 1104 |
| Sum of proper factors | 370 |
| Prime factorization | 2 × 367 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 734 interesting
- 734 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.
- 734 is a deficient number: its proper factors sum to 370, which is 364 less than 734 itself.
How to find the factors of 734 yourself
Divide 734 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 √734 ≈ 27.09, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 367, 734. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 734.
Frequently asked questions about 734
What are the factors of 734?
Is 734 a prime number?
What is the prime factorization of 734?
What two numbers multiply to give 734?
What is the sum of the factors of 734?
Is 734 a perfect square?
What is the largest factor of 734 other than itself?
How many factors does 734 have?
Explore more
Try another number in the factor calculator, break 734 down further with the prime factorization calculator, or compare 734 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.