Q: What are the prime factors of the number 45,384,570?

 A: 2, 3, 5, 7, 11, 37, 59

Why are those the prime factors of the number 45,384,570?

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 45,384,570

45,384,570
Factor Arrows
222,692,285
Factor Arrows
37,564,095
Factor Arrows
32,521,365
Factor Arrows
3840,455
Factor Arrows
5168,091
Factor Arrows
724,013
Factor Arrows
112,183
Factor Arrows
3759

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, 3, 5, 7, 11, 37, 59

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 5 x 7 x 11 x 37 x 59 = 45,384,570

This can also be written as 21 x 33 x 51 x 71 x 111 x 371 x 591 = 45,384,570

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


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