Q: What are the prime factors of the number 353,569,240?

 A: 2, 5, 41, 79, 2729

Why are those the prime factors of the number 353,569,240?

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 353,569,240

353,569,240
Factor Arrows
2176,784,620
Factor Arrows
288,392,310
Factor Arrows
244,196,155
Factor Arrows
58,839,231
Factor Arrows
41215,591
Factor Arrows
792,729

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, 41, 79, 2729

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 41 x 79 x 2,729 = 353,569,240

This can also be written as 23 x 51 x 411 x 791 x 2,7291 = 353,569,240

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 353,569,240:


Ask a Question