Q: What are the prime factors of the number 42,245,008?

 A: 2, 13, 83, 2447

Why are those the prime factors of the number 42,245,008?

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 42,245,008

42,245,008
Factor Arrows
221,122,504
Factor Arrows
210,561,252
Factor Arrows
25,280,626
Factor Arrows
22,640,313
Factor Arrows
13203,101
Factor Arrows
832,447

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, 13, 83, 2447

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 13 x 83 x 2,447 = 42,245,008

This can also be written as 24 x 131 x 831 x 2,4471 = 42,245,008

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


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