Q: What are the prime factors of the number 45,159,688?

 A: 2, 7, 311, 2593

Why are those the prime factors of the number 45,159,688?

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 45,159,688

45,159,688
Factor Arrows
222,579,844
Factor Arrows
211,289,922
Factor Arrows
25,644,961
Factor Arrows
7806,423
Factor Arrows
3112,593

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, 311, 2593

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 311 x 2,593 = 45,159,688

This can also be written as 23 x 71 x 3111 x 2,5931 = 45,159,688

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


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