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repeated division by smallest prime numbers.

divide by 2 .. 108

divide by 2 again.. 54

divide by 2 again.. 27

divide by3 .. 9

divide by 3 again .. 3

so 2x2x2x3x3x3

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10y ago
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12y ago

First, the square root of 210 is less than 15, so the tools we will need are the prime numbers less than 15. These are: 2, 3, 5, 7, 11, and 13.

To begin, we will divide 210 by 2.

210/2 = 105, which is an integer, so write "2" and continue.

Now we try 3.

105/3 = 35, which is also an integer, so write "3" and continue.

Now we try 5.

35/5 = 7, which is also an integer, so write "5" and continue.

We know 7 is prime...

Working backwards, we have 210 = 2*3*5*7.

Note that if one of these did not divide 210, we would have to skip it and "try again" with the next known prime. If none divided 210, then 210 would be prime.

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12y ago

2 x 2 x 3 x 13 = 156

2 x 2 x 2 x 3 x 3 x 3 = 216

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11y ago

it is 23 multiplied by 33

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7y ago

216 = 2 x 2 x 2 x 3 x 3 x 3

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8y ago

2^3 x 3^3

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Q: What you the prime factorization of 216?
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Related questions

What is the prime factorization for 216 using exponents?

23 x 33 = 216


What is the prime factorization of 216 using exponents?

23 x 33 = 216


Prime factorization of 216?

The prime factors for 216 are 2,2,2,3,3, and 3. 2 x 2 x 2 x 3 x 3 x 3 = 216


How do you calculate the prime factorization of 216?

Use a factor tree. 216 108,2 54,2,2 27,2,2,2 9,3,2,2,2 3,3,3,2,2,2


What are the prime factors of -216?

The prime factorization of 216 is 2,2,2,3,3,3 or 2 x 2 x 2 x 3 x 3 x 3. Prime factorization is finding prime numbers that multiplies together to satisfy the product. In your case, the product is 216.


What is the prime factorization of 216 in expanded form?

2 x 2 x 2 x 3 x 3 x 3 = 216


What is a prime factorization as a product of prime factors written in exponent form?

2 x 2 x 2 x 3 x 3 x 3 = 216 23 x 33 = 216


What is the prim factorization for 216?

216 = 23 × 33


What is a distinct factor?

All numbers (except for 1 and 0) have prime factors. Sometimes the prime factors are repeated. The prime factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3. The distinct prime factors of 216 are 2 and 3.


How do you find the prime factorization for 216?

You've come to the right place. Here is the answer: 216 = 2 x 2 x 2 x 3 x 3 x 3


What is a prime power factorization?

All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this. Example: 216 216 Divide by two. 108,2 Divide by two. 54,2,2 Divide by two. 27,2,2,2 Divide by three. 9,3,2,2,2 Divide by three. 3,3,3,2,2,2 Stop. All the factors are prime. 2 x 2 x 2 x 3 x 3 x 3 = 216 Repeated factors can be abbreviated by the use of exponents (powers). 23 x 33 = 216 That's the prime power factorization of 216.


How do you write prime factorization with exponents?

The prime factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3. To make things shorter, this can also be written with exponents: 23 x 33