Q: What are the prime factors of the number 143,476,712?

 A: 2, 41, 47, 227

Why are those the prime factors of the number 143,476,712?

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 143,476,712

143,476,712
Factor Arrows
271,738,356
Factor Arrows
235,869,178
Factor Arrows
217,934,589
Factor Arrows
41437,429
Factor Arrows
4110,669
Factor Arrows
47227

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, 41, 47, 227

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 41 x 41 x 47 x 227 = 143,476,712

This can also be written as 23 x 412 x 471 x 2271 = 143,476,712

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


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