Q: What are the prime factors of the number 6,423,424?

 A: 2, 7, 67, 107

Why are those the prime factors of the number 6,423,424?

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 6,423,424

6,423,424
Factor Arrows
23,211,712
Factor Arrows
21,605,856
Factor Arrows
2802,928
Factor Arrows
2401,464
Factor Arrows
2200,732
Factor Arrows
2100,366
Factor Arrows
250,183
Factor Arrows
77,169
Factor Arrows
67107

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, 7, 67, 107

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 2 x 7 x 67 x 107 = 6,423,424

This can also be written as 27 x 71 x 671 x 1071 = 6,423,424

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


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