Q: What are the prime factors of the number 143,152,110?

 A: 2, 3, 5, 31, 5701

Why are those the prime factors of the number 143,152,110?

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 143,152,110

143,152,110
Factor Arrows
271,576,055
Factor Arrows
323,858,685
Factor Arrows
37,952,895
Factor Arrows
32,650,965
Factor Arrows
3883,655
Factor Arrows
5176,731
Factor Arrows
315,701

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, 5, 31, 5701

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 5 x 31 x 5,701 = 143,152,110

This can also be written as 21 x 34 x 51 x 311 x 5,7011 = 143,152,110

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


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