Q: What are the prime factors of the number 45,144,855?

 A: 3, 5, 7, 19, 397

Why are those the prime factors of the number 45,144,855?

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 45,144,855

45,144,855
Factor Arrows
315,048,285
Factor Arrows
35,016,095
Factor Arrows
51,003,219
Factor Arrows
7143,317
Factor Arrows
197,543
Factor Arrows
19397

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:

3, 5, 7, 19, 397

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 7 x 19 x 19 x 397 = 45,144,855

This can also be written as 32 x 51 x 71 x 192 x 3971 = 45,144,855

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


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