Q: What are the prime factors of the number 162,614,104?

 A: 2, 683, 29761

Why are those the prime factors of the number 162,614,104?

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 162,614,104

162,614,104
Factor Arrows
281,307,052
Factor Arrows
240,653,526
Factor Arrows
220,326,763
Factor Arrows
68329,761

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, 683, 29761

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 683 x 29,761 = 162,614,104

This can also be written as 23 x 6831 x 29,7611 = 162,614,104

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


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