Q: What are the prime factors of the number 42,005,536?

 A: 2, 1312673

Why are those the prime factors of the number 42,005,536?

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 42,005,536

42,005,536
Factor Arrows
221,002,768
Factor Arrows
210,501,384
Factor Arrows
25,250,692
Factor Arrows
22,625,346
Factor Arrows
21,312,673

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, 1312673

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 1,312,673 = 42,005,536

This can also be written as 25 x 1,312,6731 = 42,005,536

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


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