Q: What are the prime factors of the number 143,042,144?

 A: 2, 7, 638581

Why are those the prime factors of the number 143,042,144?

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 143,042,144

143,042,144
Factor Arrows
271,521,072
Factor Arrows
235,760,536
Factor Arrows
217,880,268
Factor Arrows
28,940,134
Factor Arrows
24,470,067
Factor Arrows
7638,581

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, 638581

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 638,581 = 143,042,144

This can also be written as 25 x 71 x 638,5811 = 143,042,144

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


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