Q: What are the prime factors of the number 434,331,020?

 A: 2, 5, 73, 297487

Why are those the prime factors of the number 434,331,020?

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 434,331,020

434,331,020
Factor Arrows
2217,165,510
Factor Arrows
2108,582,755
Factor Arrows
521,716,551
Factor Arrows
73297,487

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, 73, 297487

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 73 x 297,487 = 434,331,020

This can also be written as 22 x 51 x 731 x 297,4871 = 434,331,020

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


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