Q: What are the prime factors of the number 20,823,424?

 A: 2, 162683

Why are those the prime factors of the number 20,823,424?

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 20,823,424

20,823,424
Factor Arrows
210,411,712
Factor Arrows
25,205,856
Factor Arrows
22,602,928
Factor Arrows
21,301,464
Factor Arrows
2650,732
Factor Arrows
2325,366
Factor Arrows
2162,683

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, 162683

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 162,683 = 20,823,424

This can also be written as 27 x 162,6831 = 20,823,424

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


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