Q: What are the prime factors of the number 376,752,178?

 A: 2, 11, 19, 109, 8269

Why are those the prime factors of the number 376,752,178?

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 376,752,178

376,752,178
Factor Arrows
2188,376,089
Factor Arrows
1117,125,099
Factor Arrows
19901,321
Factor Arrows
1098,269

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, 109, 8269

We can check our work by multiplying all of the prime factors together: 2 x 11 x 19 x 109 x 8,269 = 376,752,178

This can also be written as 21 x 111 x 191 x 1091 x 8,2691 = 376,752,178

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


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