Q: What are the prime factors of the number 891,942?

 A: 2, 3, 61, 2437

Why are those the prime factors of the number 891,942?

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 891,942

891,942
Factor Arrows
2445,971
Factor Arrows
3148,657
Factor Arrows
612,437

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, 61, 2437

We can check our work by multiplying all of the prime factors together: 2 x 3 x 61 x 2,437 = 891,942

This can also be written as 21 x 31 x 611 x 2,4371 = 891,942

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


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