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Finding the Prime Factorization of 66

To find the prime factorization of 66, find the lowest Prime number that will divide evenly into 66. Since 66 is an even number, that number will be 2. Find the number which when multiplied by 2 equals 66. The number is 33. Write it down like this:

2 X 33 = 66

2 is one of the prime factors of 66, but 33 is a composite number and must be factored. Find the lowest prime number that divides evenly into 33. The number cannot be 2 because 33 is an odd number. 3 is the lowest prime number that will divide evenly into 33. The number that when multiplied by 3 equals 33 is 11. Write it like this, keeping the 2 from the previous factorization:

2 X 3 X 11

All the factors are now prime numbers, so the prime factorization of 66 is:

2 X 3 X 11

This is one method that works for finding the prime factorization of any composite number.

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14y ago
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8y ago

A, all by itself, doesn't have a prime factorization.

The prime factorization of 60 is 2 x 2 x 3 x 5

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11y ago

It is: 2, 2, 3 and 5

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14y ago

60 = 2 * 2 * 3 * 5

= 22 * 3 * 5

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7y ago

2 x 2 x 3 x 5 = 60

2 x 5 x 7 = 70

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12y ago

There are no prime numbers between 60.

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10y ago

2 x 2 x 3 x 5 = 60

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8y ago

2, 3 and 5

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Q: What is the product of 60 using prime factors?
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