Q: What are the prime factors of the number 362,626,336?

 A: 2, 83, 136531

Why are those the prime factors of the number 362,626,336?

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 362,626,336

362,626,336
Factor Arrows
2181,313,168
Factor Arrows
290,656,584
Factor Arrows
245,328,292
Factor Arrows
222,664,146
Factor Arrows
211,332,073
Factor Arrows
83136,531

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, 83, 136531

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 83 x 136,531 = 362,626,336

This can also be written as 25 x 831 x 136,5311 = 362,626,336

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


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