Q: What are the prime factors of the number 354,680,586?

 A: 2, 3, 13, 41, 12323

Why are those the prime factors of the number 354,680,586?

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 354,680,586

354,680,586
Factor Arrows
2177,340,293
Factor Arrows
359,113,431
Factor Arrows
319,704,477
Factor Arrows
36,568,159
Factor Arrows
13505,243
Factor Arrows
4112,323

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, 13, 41, 12323

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 13 x 41 x 12,323 = 354,680,586

This can also be written as 21 x 33 x 131 x 411 x 12,3231 = 354,680,586

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


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