Q: What are the prime factors of the number 620,365,568?

 A: 2, 23, 105361

Why are those the prime factors of the number 620,365,568?

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 620,365,568

620,365,568
Factor Arrows
2310,182,784
Factor Arrows
2155,091,392
Factor Arrows
277,545,696
Factor Arrows
238,772,848
Factor Arrows
219,386,424
Factor Arrows
29,693,212
Factor Arrows
24,846,606
Factor Arrows
22,423,303
Factor Arrows
23105,361

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, 23, 105361

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 23 x 105,361 = 620,365,568

This can also be written as 28 x 231 x 105,3611 = 620,365,568

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


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