Prime Factorization of 144

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Prime Factors of

What is the Prime Factorization of 144?

Answer: Prime Factors of 144: 2, 2, 2, 2, 3, 3

or

24 × 32

Explanation of number 144 Prime Factorization

Prime Factorization of 144 it is expressing 144 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 144.

Since number 144 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 144, we have to iteratively divide 144 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 144:

The smallest Prime Number which can divide 144 without a remainder is 2. So the first calculation step would look like:

144 ÷ 2 = 72

Now we repeat this action until the result equals 1:

72 ÷ 2 = 36

36 ÷ 2 = 18

18 ÷ 2 = 9

9 ÷ 3 = 3

3 ÷ 3 = 1

Now we have all the Prime Factors for number 144. It is: 2, 2, 2, 2, 3, 3

Or you may also write it in exponential form: 24 × 32

Prime Factor Tree of 144

We may also express the prime factorization of 144 as a Factor Tree:

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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 144? (The answer is: 2, 2, 2, 2, 3, 3). Pick the number for factorization (e.g. '144'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

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Prime Factors of

Prime Factorization Table

NumberPrime Factors
1293, 43
1302, 5, 13
131131
13222 × 3 × 11
1337, 19
1342, 67
13533 × 5
13623 × 17
137137
1382, 3, 23
139139
14022 × 5 × 7
1413, 47
1422, 71
14311, 13
14424 × 32
1455, 29
1462, 73
1473 × 72
14822 × 37
149149
1502 × 3 × 52
151151
15223 × 19
15332 × 17
1542, 7, 11
1555, 31
15622 × 3 × 13
157157
1582, 79

FAQ

What is the Prime Factorization of 144?

Prime Factors of 144: 2, 2, 2, 2, 3, 3

How many prime factors does 144 have?

Number 144 has 6 Prime Factors

What is the Prime Factorization of 144 in exponential form?

The Prime Factorization of the number 144 in the exponential form is: 24 × 32

See Also