Q: What are the prime factors of the number 889,850?

 A: 2, 5, 13, 37

Why are those the prime factors of the number 889,850?

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 889,850

889,850
Factor Arrows
2444,925
Factor Arrows
588,985
Factor Arrows
517,797
Factor Arrows
131,369
Factor Arrows
3737

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, 13, 37

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 13 x 37 x 37 = 889,850

This can also be written as 21 x 52 x 131 x 372 = 889,850

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


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