Q: What are the prime factors of the number 40,042,848?

 A: 2, 3, 417113

Why are those the prime factors of the number 40,042,848?

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 40,042,848

40,042,848
Factor Arrows
220,021,424
Factor Arrows
210,010,712
Factor Arrows
25,005,356
Factor Arrows
22,502,678
Factor Arrows
21,251,339
Factor Arrows
3417,113

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, 417113

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 417,113 = 40,042,848

This can also be written as 25 x 31 x 417,1131 = 40,042,848

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


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