Q: What are the prime factors of the number 143,622,768?

 A: 2, 3, 2992141

Why are those the prime factors of the number 143,622,768?

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 143,622,768

143,622,768
Factor Arrows
271,811,384
Factor Arrows
235,905,692
Factor Arrows
217,952,846
Factor Arrows
28,976,423
Factor Arrows
32,992,141

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, 2992141

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 2,992,141 = 143,622,768

This can also be written as 24 x 31 x 2,992,1411 = 143,622,768

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


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