Factors of 743
The factors of 743 are 1 and 743. Since 743 is a prime number, it has exactly 2 factors and cannot be divided evenly by any other whole number. The sum of its factors is 744, and its prime factorization is simply 743 itself.
All factors of 743
Here are all 2 factors of 743, listed from smallest to largest.
Factor pairs of 743
There is only one factor pair for 743, because it is prime.
Prime factorization of 743
743 is a prime number, so it cannot be broken down further. Its prime factorization is simply 743.
Properties of 743
| Number of factors | 2 |
|---|---|
| Sum of factors | 744 |
| Sum of proper factors | 1 |
| Prime factorization | 743 |
| Prime or composite? | Prime |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 743 interesting
- 743 is a prime number, so its only factors are 1 and 743. It cannot be split into a product of two smaller whole numbers.
- Every prime number is deficient — the sum of its proper factors is always 1, which is far less than the number itself.
How to find the factors of 743 yourself
Divide 743 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 √743 ≈ 27.26, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 743. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 743.
Frequently asked questions about 743
What are the factors of 743?
Is 743 a prime number?
What is the prime factorization of 743?
What two numbers multiply to give 743?
What is the sum of the factors of 743?
Is 743 a perfect square?
What is the largest factor of 743 other than itself?
How many factors does 743 have?
Explore more
Try another number in the factor calculator, break 743 down further with the prime factorization calculator, or compare 743 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.