Q: What are the prime factors of the number 356,236,232?

 A: 2, 11, 29, 139591

Why are those the prime factors of the number 356,236,232?

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 356,236,232

356,236,232
Factor Arrows
2178,118,116
Factor Arrows
289,059,058
Factor Arrows
244,529,529
Factor Arrows
114,048,139
Factor Arrows
29139,591

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, 29, 139591

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 11 x 29 x 139,591 = 356,236,232

This can also be written as 23 x 111 x 291 x 139,5911 = 356,236,232

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


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