Q: What are the prime factors of the number 4,633,120?

 A: 2, 5, 23, 1259

Why are those the prime factors of the number 4,633,120?

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 4,633,120

4,633,120
Factor Arrows
22,316,560
Factor Arrows
21,158,280
Factor Arrows
2579,140
Factor Arrows
2289,570
Factor Arrows
2144,785
Factor Arrows
528,957
Factor Arrows
231,259

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, 23, 1259

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 23 x 1,259 = 4,633,120

This can also be written as 25 x 51 x 231 x 1,2591 = 4,633,120

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


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