Q: What are the prime factors of the number 122,353,848?

 A: 2, 3, 566453

Why are those the prime factors of the number 122,353,848?

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 122,353,848

122,353,848
Factor Arrows
261,176,924
Factor Arrows
230,588,462
Factor Arrows
215,294,231
Factor Arrows
35,098,077
Factor Arrows
31,699,359
Factor Arrows
3566,453

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, 566453

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 566,453 = 122,353,848

This can also be written as 23 x 33 x 566,4531 = 122,353,848

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


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