Q: What are the prime factors of the number 350,851,272?

 A: 2, 3, 14618803

Why are those the prime factors of the number 350,851,272?

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 350,851,272

350,851,272
Factor Arrows
2175,425,636
Factor Arrows
287,712,818
Factor Arrows
243,856,409
Factor Arrows
314,618,803

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, 14618803

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 14,618,803 = 350,851,272

This can also be written as 23 x 31 x 14,618,8031 = 350,851,272

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


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