Q: What are the prime factors of the number 412,545,455?

 A: 5, 7, 107, 15737

Why are those the prime factors of the number 412,545,455?

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 412,545,455

412,545,455
Factor Arrows
582,509,091
Factor Arrows
711,787,013
Factor Arrows
71,683,859
Factor Arrows
10715,737

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, 107, 15737

We can check our work by multiplying all of the prime factors together: 5 x 7 x 7 x 107 x 15,737 = 412,545,455

This can also be written as 51 x 72 x 1071 x 15,7371 = 412,545,455

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


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