Q: What are the prime factors of the number 8,172,800?

 A: 2, 5, 1277

Why are those the prime factors of the number 8,172,800?

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 8,172,800

8,172,800
Factor Arrows
24,086,400
Factor Arrows
22,043,200
Factor Arrows
21,021,600
Factor Arrows
2510,800
Factor Arrows
2255,400
Factor Arrows
2127,700
Factor Arrows
263,850
Factor Arrows
231,925
Factor Arrows
56,385
Factor Arrows
51,277

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, 1277

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 1,277 = 8,172,800

This can also be written as 28 x 52 x 1,2771 = 8,172,800

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


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