Q: What are the prime factors of the number 162,002,150?

 A: 2, 5, 3240043

Why are those the prime factors of the number 162,002,150?

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 162,002,150

162,002,150
Factor Arrows
281,001,075
Factor Arrows
516,200,215
Factor Arrows
53,240,043

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, 3240043

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 3,240,043 = 162,002,150

This can also be written as 21 x 52 x 3,240,0431 = 162,002,150

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


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