Q: What are the prime factors of the number 34,454,336?

 A: 2, 7, 76907

Why are those the prime factors of the number 34,454,336?

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 34,454,336

34,454,336
Factor Arrows
217,227,168
Factor Arrows
28,613,584
Factor Arrows
24,306,792
Factor Arrows
22,153,396
Factor Arrows
21,076,698
Factor Arrows
2538,349
Factor Arrows
776,907

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, 7, 76907

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 7 x 76,907 = 34,454,336

This can also be written as 26 x 71 x 76,9071 = 34,454,336

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 34,454,336:


Ask a Question