Q: What are the prime factors of the number 1,151,424?

 A: 2, 3, 1999

Why are those the prime factors of the number 1,151,424?

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 1,151,424

1,151,424
Factor Arrows
2575,712
Factor Arrows
2287,856
Factor Arrows
2143,928
Factor Arrows
271,964
Factor Arrows
235,982
Factor Arrows
217,991
Factor Arrows
35,997
Factor Arrows
31,999

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, 1999

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 1,999 = 1,151,424

This can also be written as 26 x 32 x 1,9991 = 1,151,424

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


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