Q: What are the prime factors of the number 2,633,920?

 A: 2, 5, 8231

Why are those the prime factors of the number 2,633,920?

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 2,633,920

2,633,920
Factor Arrows
21,316,960
Factor Arrows
2658,480
Factor Arrows
2329,240
Factor Arrows
2164,620
Factor Arrows
282,310
Factor Arrows
241,155
Factor Arrows
58,231

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, 8231

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 5 x 8,231 = 2,633,920

This can also be written as 26 x 51 x 8,2311 = 2,633,920

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


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