Prime Factorization of 1224

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Prime Factors of

What is the Prime Factorization of 1224?

Answer: Prime Factors of 1224: 2, 2, 2, 3, 3, 17

or

23 × 32 × 17

Explanation of number 1224 Prime Factorization

Prime Factorization of 1224 it is expressing 1224 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 1224.

Since number 1224 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 1224, we have to iteratively divide 1224 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 1224:

The smallest Prime Number which can divide 1224 without a remainder is 2. So the first calculation step would look like:

1224 ÷ 2 = 612

Now we repeat this action until the result equals 1:

612 ÷ 2 = 306

306 ÷ 2 = 153

153 ÷ 3 = 51

51 ÷ 3 = 17

17 ÷ 17 = 1

Now we have all the Prime Factors for number 1224. It is: 2, 2, 2, 3, 3, 17

Or you may also write it in exponential form: 23 × 32 × 17

Prime Factor Tree of 1224

We may also express the prime factorization of 1224 as a Factor Tree:

See Also

About "Prime Factorization" Calculator

This calculator will perform a Prime Factorization of any given number and will show all its Prime Factors. For example, it can help you find out what is the Prime Factorization of 1224? (The answer is: 2, 2, 2, 3, 3, 17). Pick the number for factorization (e.g. '1224'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

"Prime Factorization" Calculator

Prime Factors of

Prime Factorization Table

NumberPrime Factors
12093, 13, 31
12102 × 5 × 112
12117, 173
121222 × 3 × 101
12131213
12142, 607
121535 × 5
121626 × 19
12171217
12182, 3, 7, 29
121923, 53
122022 × 5 × 61
12213, 11, 37
12222, 13, 47
12231223
122423 × 32 × 17
122552 × 72
12262, 613
12273, 409
122822 × 307
12291229
12302, 3, 5, 41
12311231
123224 × 7 × 11
123332 × 137
12342, 617
12355, 13, 19
123622 × 3 × 103
12371237
12382, 619

FAQ

What is the Prime Factorization of 1224?

Prime Factors of 1224: 2, 2, 2, 3, 3, 17

How many prime factors does 1224 have?

Number 1224 has 6 Prime Factors

What is the Prime Factorization of 1224 in exponential form?

The Prime Factorization of the number 1224 in the exponential form is: 23 × 32 × 17

See Also