Q: What are the prime factors of the number 40,835,328?

 A: 2, 3, 53171

Why are those the prime factors of the number 40,835,328?

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 40,835,328

40,835,328
Factor Arrows
220,417,664
Factor Arrows
210,208,832
Factor Arrows
25,104,416
Factor Arrows
22,552,208
Factor Arrows
21,276,104
Factor Arrows
2638,052
Factor Arrows
2319,026
Factor Arrows
2159,513
Factor Arrows
353,171

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, 53171

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 3 x 53,171 = 40,835,328

This can also be written as 28 x 31 x 53,1711 = 40,835,328

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


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