Q: What are the prime factors of the number 160,013,650?

 A: 2, 5, 113, 127, 223

Why are those the prime factors of the number 160,013,650?

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 160,013,650

160,013,650
Factor Arrows
280,006,825
Factor Arrows
516,001,365
Factor Arrows
53,200,273
Factor Arrows
11328,321
Factor Arrows
127223

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, 113, 127, 223

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 113 x 127 x 223 = 160,013,650

This can also be written as 21 x 52 x 1131 x 1271 x 2231 = 160,013,650

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


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