Q: What are the prime factors of the number 4,782,080?

 A: 2, 5, 467

Why are those the prime factors of the number 4,782,080?

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 4,782,080

4,782,080
Factor Arrows
22,391,040
Factor Arrows
21,195,520
Factor Arrows
2597,760
Factor Arrows
2298,880
Factor Arrows
2149,440
Factor Arrows
274,720
Factor Arrows
237,360
Factor Arrows
218,680
Factor Arrows
29,340
Factor Arrows
24,670
Factor Arrows
22,335
Factor Arrows
5467

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, 467

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 2 x 2 x 2 x 5 x 467 = 4,782,080

This can also be written as 211 x 51 x 4671 = 4,782,080

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


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