Q: What are the prime factors of the number 863,424?

 A: 2, 3, 1499

Why are those the prime factors of the number 863,424?

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 863,424

863,424
Factor Arrows
2431,712
Factor Arrows
2215,856
Factor Arrows
2107,928
Factor Arrows
253,964
Factor Arrows
226,982
Factor Arrows
213,491
Factor Arrows
34,497
Factor Arrows
31,499

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, 1499

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 1,499 = 863,424

This can also be written as 26 x 32 x 1,4991 = 863,424

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


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