Q: What are the prime factors of the number 355,083,552?

 A: 2, 3, 19, 64891

Why are those the prime factors of the number 355,083,552?

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 355,083,552

355,083,552
Factor Arrows
2177,541,776
Factor Arrows
288,770,888
Factor Arrows
244,385,444
Factor Arrows
222,192,722
Factor Arrows
211,096,361
Factor Arrows
33,698,787
Factor Arrows
31,232,929
Factor Arrows
1964,891

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, 19, 64891

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 19 x 64,891 = 355,083,552

This can also be written as 25 x 32 x 191 x 64,8911 = 355,083,552

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


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