Factors of 741
The factors of 741 are 1, 3, 13, 19, 39, 57, 247, and 741. In total, 741 has 8 factors. Its prime factorization is 3 × 13 × 19, and the sum of all its factors is 1120.
All factors of 741
Here are all 8 factors of 741, listed from smallest to largest.
Factor pairs of 741
These 4 pairs of whole numbers each multiply to give 741.
Prime factorization of 741
Dividing 741 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 741 are 3, 13, 19. To factorize any other number, use the prime factorization calculator.
Factor tree of 741
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 741
| Number of factors | 8 |
|---|---|
| Sum of factors | 1120 |
| Sum of proper factors | 379 |
| Prime factorization | 3 × 13 × 19 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 741 interesting
- 741 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.
- 741 is a deficient number: its proper factors sum to 379, which is 362 less than 741 itself.
- 741 is a triangular number — it is the sum of the first 38 whole numbers (1 + 2 + … + 38 = 741).
- 741 has 3 distinct prime factors (3, 13, 19), which is why it has so many divisors.
How to find the factors of 741 yourself
Divide 741 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 √741 ≈ 27.22, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 13, 19, 39, 57, 247, 741. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 741.
Frequently asked questions about 741
What are the factors of 741?
Is 741 a prime number?
What is the prime factorization of 741?
What two numbers multiply to give 741?
What is the sum of the factors of 741?
Is 741 a perfect square?
What is the largest factor of 741 other than itself?
How many factors does 741 have?
Explore more
Try another number in the factor calculator, break 741 down further with the prime factorization calculator, or compare 741 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.