Q: What are the prime factors of the number 4,747,456?

 A: 2, 7, 10597

Why are those the prime factors of the number 4,747,456?

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 4,747,456

4,747,456
Factor Arrows
22,373,728
Factor Arrows
21,186,864
Factor Arrows
2593,432
Factor Arrows
2296,716
Factor Arrows
2148,358
Factor Arrows
274,179
Factor Arrows
710,597

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, 10597

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 7 x 10,597 = 4,747,456

This can also be written as 26 x 71 x 10,5971 = 4,747,456

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


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