Q: What are the prime factors of the number 4,847,388?

 A: 2, 3, 7, 13, 23, 193

Why are those the prime factors of the number 4,847,388?

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 4,847,388

4,847,388
Factor Arrows
22,423,694
Factor Arrows
21,211,847
Factor Arrows
3403,949
Factor Arrows
757,707
Factor Arrows
134,439
Factor Arrows
23193

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, 7, 13, 23, 193

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 13 x 23 x 193 = 4,847,388

This can also be written as 22 x 31 x 71 x 131 x 231 x 1931 = 4,847,388

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


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