Q: What are the prime factors of the number 143,154,016?

 A: 2, 107, 41809

Why are those the prime factors of the number 143,154,016?

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 143,154,016

143,154,016
Factor Arrows
271,577,008
Factor Arrows
235,788,504
Factor Arrows
217,894,252
Factor Arrows
28,947,126
Factor Arrows
24,473,563
Factor Arrows
10741,809

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, 107, 41809

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 107 x 41,809 = 143,154,016

This can also be written as 25 x 1071 x 41,8091 = 143,154,016

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


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