Q: What are the prime factors of the number 160,016,506?

 A: 2, 13, 997, 6173

Why are those the prime factors of the number 160,016,506?

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 160,016,506

160,016,506
Factor Arrows
280,008,253
Factor Arrows
136,154,481
Factor Arrows
9976,173

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, 13, 997, 6173

We can check our work by multiplying all of the prime factors together: 2 x 13 x 997 x 6,173 = 160,016,506

This can also be written as 21 x 131 x 9971 x 6,1731 = 160,016,506

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


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