Q: What are the prime factors of the number 66,546,304?

 A: 2, 11, 151, 313

Why are those the prime factors of the number 66,546,304?

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 66,546,304

66,546,304
Factor Arrows
233,273,152
Factor Arrows
216,636,576
Factor Arrows
28,318,288
Factor Arrows
24,159,144
Factor Arrows
22,079,572
Factor Arrows
21,039,786
Factor Arrows
2519,893
Factor Arrows
1147,263
Factor Arrows
151313

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, 11, 151, 313

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 11 x 151 x 313 = 66,546,304

This can also be written as 27 x 111 x 1511 x 3131 = 66,546,304

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


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