Q: What are the prime factors of the number 5,430,144?

 A: 2, 3, 79, 179

Why are those the prime factors of the number 5,430,144?

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 5,430,144

5,430,144
Factor Arrows
22,715,072
Factor Arrows
21,357,536
Factor Arrows
2678,768
Factor Arrows
2339,384
Factor Arrows
2169,692
Factor Arrows
284,846
Factor Arrows
242,423
Factor Arrows
314,141
Factor Arrows
79179

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, 79, 179

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 3 x 79 x 179 = 5,430,144

This can also be written as 27 x 31 x 791 x 1791 = 5,430,144

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


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