Q: What are the prime factors of the number 4,707,904?

 A: 2, 73561

Why are those the prime factors of the number 4,707,904?

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 4,707,904

4,707,904
Factor Arrows
22,353,952
Factor Arrows
21,176,976
Factor Arrows
2588,488
Factor Arrows
2294,244
Factor Arrows
2147,122
Factor Arrows
273,561

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, 73561

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 73,561 = 4,707,904

This can also be written as 26 x 73,5611 = 4,707,904

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


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