Q: What are the prime factors of the number 160,015,338?

 A: 2, 3, 7, 141107

Why are those the prime factors of the number 160,015,338?

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 160,015,338

160,015,338
Factor Arrows
280,007,669
Factor Arrows
326,669,223
Factor Arrows
38,889,741
Factor Arrows
32,963,247
Factor Arrows
3987,749
Factor Arrows
7141,107

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, 3, 7, 141107

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 7 x 141,107 = 160,015,338

This can also be written as 21 x 34 x 71 x 141,1071 = 160,015,338

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


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