Q: What are the prime factors of the number 351,063,152?

 A: 2, 11, 19, 277, 379

Why are those the prime factors of the number 351,063,152?

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 351,063,152

351,063,152
Factor Arrows
2175,531,576
Factor Arrows
287,765,788
Factor Arrows
243,882,894
Factor Arrows
221,941,447
Factor Arrows
111,994,677
Factor Arrows
19104,983
Factor Arrows
277379

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, 11, 19, 277, 379

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 11 x 19 x 277 x 379 = 351,063,152

This can also be written as 24 x 111 x 191 x 2771 x 3791 = 351,063,152

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


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