Q: What are the prime factors of the number 5,034,474?

 A: 2, 3, 1151

Why are those the prime factors of the number 5,034,474?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 5,034,474

5,034,474
Factor Arrows
22,517,237
Factor Arrows
3839,079
Factor Arrows
3279,693
Factor Arrows
393,231
Factor Arrows
331,077
Factor Arrows
310,359
Factor Arrows
33,453
Factor Arrows
31,151

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 1151

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 1,151 = 5,034,474

This can also be written as 21 x 37 x 1,1511 = 5,034,474

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 5,034,474:


Ask a Question