Q: What are the prime factors of the number 162,737,630?

 A: 2, 5, 11, 61, 79, 307

Why are those the prime factors of the number 162,737,630?

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 162,737,630

162,737,630
Factor Arrows
281,368,815
Factor Arrows
516,273,763
Factor Arrows
111,479,433
Factor Arrows
6124,253
Factor Arrows
79307

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, 11, 61, 79, 307

We can check our work by multiplying all of the prime factors together: 2 x 5 x 11 x 61 x 79 x 307 = 162,737,630

This can also be written as 21 x 51 x 111 x 611 x 791 x 3071 = 162,737,630

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


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