Q: What are the prime factors of the number 4,203,136?

 A: 2, 7, 4691

Why are those the prime factors of the number 4,203,136?

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 4,203,136

4,203,136
Factor Arrows
22,101,568
Factor Arrows
21,050,784
Factor Arrows
2525,392
Factor Arrows
2262,696
Factor Arrows
2131,348
Factor Arrows
265,674
Factor Arrows
232,837
Factor Arrows
74,691

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, 7, 4691

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 2 x 7 x 4,691 = 4,203,136

This can also be written as 27 x 71 x 4,6911 = 4,203,136

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


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