Q: What are the prime factors of the number 904,848?

 A: 2, 3, 7, 2693

Why are those the prime factors of the number 904,848?

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 904,848

904,848
Factor Arrows
2452,424
Factor Arrows
2226,212
Factor Arrows
2113,106
Factor Arrows
256,553
Factor Arrows
318,851
Factor Arrows
72,693

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, 7, 2693

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 7 x 2,693 = 904,848

This can also be written as 24 x 31 x 71 x 2,6931 = 904,848

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


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