Q: What are the prime factors of the number 356,667,556?

 A: 2, 7, 3257, 3911

Why are those the prime factors of the number 356,667,556?

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 356,667,556

356,667,556
Factor Arrows
2178,333,778
Factor Arrows
289,166,889
Factor Arrows
712,738,127
Factor Arrows
3,2573,911

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, 7, 3257, 3911

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 3,257 x 3,911 = 356,667,556

This can also be written as 22 x 71 x 3,2571 x 3,9111 = 356,667,556

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


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