Q: What are the prime factors of the number 160,111,028?

 A: 2, 7, 11, 103

Why are those the prime factors of the number 160,111,028?

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 160,111,028

160,111,028
Factor Arrows
280,055,514
Factor Arrows
240,027,757
Factor Arrows
75,718,251
Factor Arrows
7816,893
Factor Arrows
7116,699
Factor Arrows
1110,609
Factor Arrows
103103

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, 7, 11, 103

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 7 x 7 x 11 x 103 x 103 = 160,111,028

This can also be written as 22 x 73 x 111 x 1032 = 160,111,028

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


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