Q: What are the prime factors of the number 612,154,044?

 A: 2, 3, 211, 26863

Why are those the prime factors of the number 612,154,044?

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 612,154,044

612,154,044
Factor Arrows
2306,077,022
Factor Arrows
2153,038,511
Factor Arrows
351,012,837
Factor Arrows
317,004,279
Factor Arrows
35,668,093
Factor Arrows
21126,863

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, 211, 26863

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 211 x 26,863 = 612,154,044

This can also be written as 22 x 33 x 2111 x 26,8631 = 612,154,044

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


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