Q: What are the prime factors of the number 838,042,432?

 A: 2, 67, 2917

Why are those the prime factors of the number 838,042,432?

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 838,042,432

838,042,432
Factor Arrows
2419,021,216
Factor Arrows
2209,510,608
Factor Arrows
2104,755,304
Factor Arrows
252,377,652
Factor Arrows
226,188,826
Factor Arrows
213,094,413
Factor Arrows
67195,439
Factor Arrows
672,917

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, 67, 2917

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 67 x 67 x 2,917 = 838,042,432

This can also be written as 26 x 672 x 2,9171 = 838,042,432

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


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