Q: What are the prime factors of the number 43,475,472?

 A: 2, 3, 301913

Why are those the prime factors of the number 43,475,472?

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 43,475,472

43,475,472
Factor Arrows
221,737,736
Factor Arrows
210,868,868
Factor Arrows
25,434,434
Factor Arrows
22,717,217
Factor Arrows
3905,739
Factor Arrows
3301,913

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, 301913

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 301,913 = 43,475,472

This can also be written as 24 x 32 x 301,9131 = 43,475,472

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


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