Q: What are the prime factors of the number 842,292?

 A: 2, 3, 11, 709

Why are those the prime factors of the number 842,292?

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 842,292

842,292
Factor Arrows
2421,146
Factor Arrows
2210,573
Factor Arrows
370,191
Factor Arrows
323,397
Factor Arrows
37,799
Factor Arrows
11709

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, 11, 709

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 11 x 709 = 842,292

This can also be written as 22 x 33 x 111 x 7091 = 842,292

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


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