Q: What are the prime factors of the number 160,110,435?

 A: 3, 5, 19, 47, 11953

Why are those the prime factors of the number 160,110,435?

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 160,110,435

160,110,435
Factor Arrows
353,370,145
Factor Arrows
510,674,029
Factor Arrows
19561,791
Factor Arrows
4711,953

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:

3, 5, 19, 47, 11953

We can check our work by multiplying all of the prime factors together: 3 x 5 x 19 x 47 x 11,953 = 160,110,435

This can also be written as 31 x 51 x 191 x 471 x 11,9531 = 160,110,435

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


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