Q: What are the prime factors of the number 4,806,400?

 A: 2, 5, 751

Why are those the prime factors of the number 4,806,400?

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 4,806,400

4,806,400
Factor Arrows
22,403,200
Factor Arrows
21,201,600
Factor Arrows
2600,800
Factor Arrows
2300,400
Factor Arrows
2150,200
Factor Arrows
275,100
Factor Arrows
237,550
Factor Arrows
218,775
Factor Arrows
53,755
Factor Arrows
5751

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, 5, 751

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 5 x 5 x 751 = 4,806,400

This can also be written as 28 x 52 x 7511 = 4,806,400

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


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