Q: What are the prime factors of the number 162,660,704?

 A: 2, 271, 18757

Why are those the prime factors of the number 162,660,704?

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 162,660,704

162,660,704
Factor Arrows
281,330,352
Factor Arrows
240,665,176
Factor Arrows
220,332,588
Factor Arrows
210,166,294
Factor Arrows
25,083,147
Factor Arrows
27118,757

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, 271, 18757

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 271 x 18,757 = 162,660,704

This can also be written as 25 x 2711 x 18,7571 = 162,660,704

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


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