Q: What are the prime factors of the number 4,680,448?

 A: 2, 47, 389

Why are those the prime factors of the number 4,680,448?

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 4,680,448

4,680,448
Factor Arrows
22,340,224
Factor Arrows
21,170,112
Factor Arrows
2585,056
Factor Arrows
2292,528
Factor Arrows
2146,264
Factor Arrows
273,132
Factor Arrows
236,566
Factor Arrows
218,283
Factor Arrows
47389

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, 47, 389

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 2 x 47 x 389 = 4,680,448

This can also be written as 28 x 471 x 3891 = 4,680,448

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


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