Q: What are the prime factors of the number 40,460,004?

 A: 2, 3, 13, 86453

Why are those the prime factors of the number 40,460,004?

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 40,460,004

40,460,004
Factor Arrows
220,230,002
Factor Arrows
210,115,001
Factor Arrows
33,371,667
Factor Arrows
31,123,889
Factor Arrows
1386,453

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, 13, 86453

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 13 x 86,453 = 40,460,004

This can also be written as 22 x 32 x 131 x 86,4531 = 40,460,004

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


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