Q: What are the prime factors of the number 159,035,776?

 A: 2, 19, 65393

Why are those the prime factors of the number 159,035,776?

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 159,035,776

159,035,776
Factor Arrows
279,517,888
Factor Arrows
239,758,944
Factor Arrows
219,879,472
Factor Arrows
29,939,736
Factor Arrows
24,969,868
Factor Arrows
22,484,934
Factor Arrows
21,242,467
Factor Arrows
1965,393

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, 19, 65393

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 19 x 65,393 = 159,035,776

This can also be written as 27 x 191 x 65,3931 = 159,035,776

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


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