Q: What are the prime factors of the number 453,060,116?

 A: 2, 37, 199, 15383

Why are those the prime factors of the number 453,060,116?

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 453,060,116

453,060,116
Factor Arrows
2226,530,058
Factor Arrows
2113,265,029
Factor Arrows
373,061,217
Factor Arrows
19915,383

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, 37, 199, 15383

We can check our work by multiplying all of the prime factors together: 2 x 2 x 37 x 199 x 15,383 = 453,060,116

This can also be written as 22 x 371 x 1991 x 15,3831 = 453,060,116

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


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