Q: What are the prime factors of the number 500,307,552?

 A: 2, 3, 17, 6011

Why are those the prime factors of the number 500,307,552?

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 500,307,552

500,307,552
Factor Arrows
2250,153,776
Factor Arrows
2125,076,888
Factor Arrows
262,538,444
Factor Arrows
231,269,222
Factor Arrows
215,634,611
Factor Arrows
35,211,537
Factor Arrows
31,737,179
Factor Arrows
17102,187
Factor Arrows
176,011

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, 17, 6011

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 17 x 17 x 6,011 = 500,307,552

This can also be written as 25 x 32 x 172 x 6,0111 = 500,307,552

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


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