Find the prime factors for the following using divisions method 144
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Answer:
Prime Factors of 144 By Division Method
The number 144 is a composite and it should have prime factors. Now let us know how to calculate the prime factors of a number
Step 1: The first step is to divide the number 144 with the smallest prime factor, say 2.
144 ÷ 2 = 72
Step 2: Again divide 72 by 2 and the process goes on.
72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 = 9
Step 3: You will get a fractional number if you divide 9 by 2. So continue with the next prime factor, say 3
9 ÷ 3 = 3
3 ÷ 3 = 1
Finally, we received the number 1 at the end of the division process. So that we cannot proceed further. So, the prime factors are written as 2 x 2 x 2 x 2 × 3 x 3 or 24 x 32, where 2 and 3 are the prime numbers.
So, the prime factors are written as 2 x 2 x 2 x 2 × 3 x 3 or 24 x 32, where 2 and 3 are the prime numbers. It is possible to find the exact number of factors of a number 144 with the help of prime factorisation. The prime factor of the 144 is 24 x 32
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