Q: What are the prime factors of the number 54,022,998?

 A: 2, 3, 23, 29, 13499

Why are those the prime factors of the number 54,022,998?

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 54,022,998

54,022,998
Factor Arrows
227,011,499
Factor Arrows
39,003,833
Factor Arrows
23391,471
Factor Arrows
2913,499

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, 23, 29, 13499

We can check our work by multiplying all of the prime factors together: 2 x 3 x 23 x 29 x 13,499 = 54,022,998

This can also be written as 21 x 31 x 231 x 291 x 13,4991 = 54,022,998

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


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