Factor Calculator

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.

1313193957247741

Factor pairs of 741

These 4 pairs of whole numbers each multiply to give 741.

1 × 741 = 741
3 × 247 = 741
13 × 57 = 741
19 × 39 = 741

Prime factorization of 741

Dividing 741 by the smallest prime at each step gives its prime factorization:

741 ÷ 3 = 247
247 ÷ 13 = 19
19 ÷ 19 = 1
Result: 741 = 3 × 13 × 19 = 3 × 13 × 19

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.

Factor tree of 74174132471319
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 741

Number of factors8
Sum of factors1120
Sum of proper factors379
Prime factorization3 × 13 × 19
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

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 √74127.22, because every factor above that pairs with one below it.

741 ÷ 1 = 741
741 ÷ 3 = 247
741 ÷ 13 = 57
741 ÷ 19 = 39

Reading both columns gives every factor: 1, 3, 13, 19, 39, 57, 247, 741. The factor calculator does this automatically for any number.

Frequently asked questions about 741

What are the factors of 741?

The factors of 741 are 1, 3, 13, 19, 39, 57, 247, and 741. That is 8 factors in total, counting both 1 and 741.

Is 741 a prime number?

No, 741 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 741 is also divisible by 3.

What is the prime factorization of 741?

The prime factorization of 741 is 3 × 13 × 19. Written out in full: 3 × 13 × 19 = 741. Its distinct prime factors are 3, 13, 19.

What two numbers multiply to give 741?

There are 4 pairs of whole numbers that multiply to 741: 1 × 741, 3 × 247, 13 × 57, 19 × 39.

What is the sum of the factors of 741?

Adding all the factors of 741 together gives 1120. Excluding 741 itself, the proper factors sum to 379.

Is 741 a perfect square?

No, 741 is not a perfect square. There is no whole number that multiplies by itself to give 741. The nearest perfect squares are 729 and 784.

What is the largest factor of 741 other than itself?

The largest factor of 741 apart from 741 itself is 247, since 741 ÷ 247 = 3.

How many factors does 741 have?

741 has 8 factors: 1, 3, 13, 19, 39, 57, 247, and 741. You can verify this from the prime factorization 3 × 13 × 19: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

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.