Q: What are the prime factors of the number 402,022,062?

 A: 2, 3, 13, 653, 877

Why are those the prime factors of the number 402,022,062?

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 402,022,062

402,022,062
Factor Arrows
2201,011,031
Factor Arrows
367,003,677
Factor Arrows
322,334,559
Factor Arrows
37,444,853
Factor Arrows
13572,681
Factor Arrows
653877

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, 653, 877

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 13 x 653 x 877 = 402,022,062

This can also be written as 21 x 33 x 131 x 6531 x 8771 = 402,022,062

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


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