Q: What are the prime factors of the number 43,045,008?

 A: 2, 3, 896771

Why are those the prime factors of the number 43,045,008?

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 43,045,008

43,045,008
Factor Arrows
221,522,504
Factor Arrows
210,761,252
Factor Arrows
25,380,626
Factor Arrows
22,690,313
Factor Arrows
3896,771

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, 896771

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 896,771 = 43,045,008

This can also be written as 24 x 31 x 896,7711 = 43,045,008

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


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