Q: What are the prime factors of the number 3,678,144?

 A: 2, 3, 19157

Why are those the prime factors of the number 3,678,144?

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 3,678,144

3,678,144
Factor Arrows
21,839,072
Factor Arrows
2919,536
Factor Arrows
2459,768
Factor Arrows
2229,884
Factor Arrows
2114,942
Factor Arrows
257,471
Factor Arrows
319,157

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, 19157

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 3 x 19,157 = 3,678,144

This can also be written as 26 x 31 x 19,1571 = 3,678,144

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


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