Q: What are the prime factors of the number 162,552,064?

 A: 2, 634969

Why are those the prime factors of the number 162,552,064?

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 162,552,064

162,552,064
Factor Arrows
281,276,032
Factor Arrows
240,638,016
Factor Arrows
220,319,008
Factor Arrows
210,159,504
Factor Arrows
25,079,752
Factor Arrows
22,539,876
Factor Arrows
21,269,938
Factor Arrows
2634,969

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, 634969

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 634,969 = 162,552,064

This can also be written as 28 x 634,9691 = 162,552,064

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


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