Q: What are the prime factors of the number 370,454,440?

 A: 2, 5, 9261361

Why are those the prime factors of the number 370,454,440?

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 370,454,440

370,454,440
Factor Arrows
2185,227,220
Factor Arrows
292,613,610
Factor Arrows
246,306,805
Factor Arrows
59,261,361

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, 9261361

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 9,261,361 = 370,454,440

This can also be written as 23 x 51 x 9,261,3611 = 370,454,440

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


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