Q: What are the prime factors of the number 28,701,850?

 A: 2, 5, 251, 2287

Why are those the prime factors of the number 28,701,850?

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 28,701,850

28,701,850
Factor Arrows
214,350,925
Factor Arrows
52,870,185
Factor Arrows
5574,037
Factor Arrows
2512,287

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, 251, 2287

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 251 x 2,287 = 28,701,850

This can also be written as 21 x 52 x 2511 x 2,2871 = 28,701,850

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


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