write the prime factorisation of 96 by factor tree method
Answers
Answer:
Step-by-step explanation:
Results:
The number 96 is a composite number because 96 can be divided by 1, by itself and at least by 2 and 3. So, it is possible to draw its prime tree.
The prime factorization of 96 = 25•3. See its prime factors tree below.
Answer:
Step 1: Divide the number 96 with the smallest prime factor, say 2. 96 ÷ 2 = 48
Step 2: Divide 48 again by 2. 48 ÷ 2 = 24
Step 3: Divide 24 again by 2. 24 ÷ 2 = 12 and continue this division
Step 4: 12 ÷ 2 = 6
Step 5: 6 ÷ 2 = 3
Step 6: Now if we will divide 3 by 2, we will get a fractional number and a factor cannot be a fraction or a decimal number. So, let's proceed with the next prime factor, say 3. 3 ÷ 3 = 1
The prime factors of 96 thus obtained are written as 96 = 2 × 2 × 2 × 2 × 2 × 3 = 25 × 31, where 2 and 3 are the prime numbers.
Factor tree of 96
The same division process is best represented in the form of a factor tree as given below:
A factor tree is a special branching diagram where we find the factors of a number, then we find the factors of those numbers, etc. until we cannot factor anymore.
The ends of a factor tree are all prime factors of the original number.
There are many ways of creating the factor tree of 96: