Q: What are the prime factors of the number 886,140?

 A: 2, 3, 5, 547

Why are those the prime factors of the number 886,140?

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 886,140

886,140
Factor Arrows
2443,070
Factor Arrows
2221,535
Factor Arrows
373,845
Factor Arrows
324,615
Factor Arrows
38,205
Factor Arrows
32,735
Factor Arrows
5547

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, 3, 5, 547

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 5 x 547 = 886,140

This can also be written as 22 x 34 x 51 x 5471 = 886,140

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


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