Q: What are the prime factors of the number 4,333,760?

 A: 2, 5, 29, 467

Why are those the prime factors of the number 4,333,760?

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 4,333,760

4,333,760
Factor Arrows
22,166,880
Factor Arrows
21,083,440
Factor Arrows
2541,720
Factor Arrows
2270,860
Factor Arrows
2135,430
Factor Arrows
267,715
Factor Arrows
513,543
Factor Arrows
29467

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, 5, 29, 467

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 5 x 29 x 467 = 4,333,760

This can also be written as 26 x 51 x 291 x 4671 = 4,333,760

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 4,333,760:


Ask a Question