Q: What are the prime factors of the number 889,810?

 A: 2, 5, 101, 881

Why are those the prime factors of the number 889,810?

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 889,810

889,810
Factor Arrows
2444,905
Factor Arrows
588,981
Factor Arrows
101881

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, 101, 881

We can check our work by multiplying all of the prime factors together: 2 x 5 x 101 x 881 = 889,810

This can also be written as 21 x 51 x 1011 x 8811 = 889,810

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


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