Q: What are the prime factors of the number 162,102,018?

 A: 2, 3, 13, 103, 20177

Why are those the prime factors of the number 162,102,018?

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 162,102,018

162,102,018
Factor Arrows
281,051,009
Factor Arrows
327,017,003
Factor Arrows
132,078,231
Factor Arrows
10320,177

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, 103, 20177

We can check our work by multiplying all of the prime factors together: 2 x 3 x 13 x 103 x 20,177 = 162,102,018

This can also be written as 21 x 31 x 131 x 1031 x 20,1771 = 162,102,018

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


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