Q: What are the prime factors of the number 141,563,345?

 A: 5, 7, 11, 33427

Why are those the prime factors of the number 141,563,345?

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 141,563,345

141,563,345
Factor Arrows
528,312,669
Factor Arrows
74,044,667
Factor Arrows
11367,697
Factor Arrows
1133,427

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:

5, 7, 11, 33427

We can check our work by multiplying all of the prime factors together: 5 x 7 x 11 x 11 x 33,427 = 141,563,345

This can also be written as 51 x 71 x 112 x 33,4271 = 141,563,345

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


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