Q: What are the prime factors of the number 43,951,616?

 A: 2, 85843

Why are those the prime factors of the number 43,951,616?

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 43,951,616

43,951,616
Factor Arrows
221,975,808
Factor Arrows
210,987,904
Factor Arrows
25,493,952
Factor Arrows
22,746,976
Factor Arrows
21,373,488
Factor Arrows
2686,744
Factor Arrows
2343,372
Factor Arrows
2171,686
Factor Arrows
285,843

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, 85843

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 85,843 = 43,951,616

This can also be written as 29 x 85,8431 = 43,951,616

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


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