Q: What are the prime factors of the number 42,871,790?

 A: 2, 5, 13, 17, 19, 1021

Why are those the prime factors of the number 42,871,790?

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 42,871,790

42,871,790
Factor Arrows
221,435,895
Factor Arrows
54,287,179
Factor Arrows
13329,783
Factor Arrows
1719,399
Factor Arrows
191,021

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, 5, 13, 17, 19, 1021

We can check our work by multiplying all of the prime factors together: 2 x 5 x 13 x 17 x 19 x 1,021 = 42,871,790

This can also be written as 21 x 51 x 131 x 171 x 191 x 1,0211 = 42,871,790

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


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