prime factorization of 144 is...............................
Answers
Price factorisation by Divisional Method:-
Steps to find:-
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.
Final answer:-
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. The exponents in the prime factorisation are 4 and 2. Add the number 1 with the exponents and multiply it. (4+1)(2+1) = 5 x 3 = 15. Therefore, the number 144 has 15 factors.
Answer:
2*2*2*2*3*3
Step-by-step explanation:
Answer is 2 power 4* 3 ^2