Q: What are the prime factors of the number 40,043,430?

 A: 2, 3, 5, 7, 21187

Why are those the prime factors of the number 40,043,430?

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 40,043,430

40,043,430
Factor Arrows
220,021,715
Factor Arrows
36,673,905
Factor Arrows
32,224,635
Factor Arrows
3741,545
Factor Arrows
5148,309
Factor Arrows
721,187

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, 5, 7, 21187

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 5 x 7 x 21,187 = 40,043,430

This can also be written as 21 x 33 x 51 x 71 x 21,1871 = 40,043,430

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


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