Q: What are the prime factors of the number 143,024,301?

 A: 3, 7, 73, 137, 227

Why are those the prime factors of the number 143,024,301?

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 143,024,301

143,024,301
Factor Arrows
347,674,767
Factor Arrows
315,891,589
Factor Arrows
72,270,227
Factor Arrows
7331,099
Factor Arrows
137227

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:

3, 7, 73, 137, 227

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 73 x 137 x 227 = 143,024,301

This can also be written as 32 x 71 x 731 x 1371 x 2271 = 143,024,301

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


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