Q: What are the prime factors of the number 371,208,015?

 A: 3, 5, 305521

Why are those the prime factors of the number 371,208,015?

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 371,208,015

371,208,015
Factor Arrows
3123,736,005
Factor Arrows
341,245,335
Factor Arrows
313,748,445
Factor Arrows
34,582,815
Factor Arrows
31,527,605
Factor Arrows
5305,521

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:

3, 5, 305521

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 5 x 305,521 = 371,208,015

This can also be written as 35 x 51 x 305,5211 = 371,208,015

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


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