It is 2 x 3 x 5^2
I shall draw it
1) Firstly, 150 can be written as 10 x 15 as 10 x 15 is equal to 150.
2) 10 is not a prime number so we go deeper and now we have 2 x 5 = 10.
3) 15 is also not a prime number so we can have 3 x 5 = 10.
4) Now we had the last lines and we have 2 x 3 x 5 x5 = 2 x 3 x 5²
Answer:
2 x 3 x 5²
Step-by-step explanation:
The number 150 is a composite and it should have prime factors. Now let us know how to calculate the prime factors of 150.
Step 1: The first step is to divide the number 150 with the smallest prime number, say 2.
150 ÷ 2 = 75
Step 2: You will get a fractional number if you divide 75 by 2. Continue with the next prime number, say 3.
75 ÷ 3 = 25
Step 3: Again you will get a fractional value when you divide 25 by 3 hence, continue with the next prime number say 5.
25 ÷ 5 = 5
5 ÷ 5 = 1
Finally, we received the number 1 at the end of the division process. So that we cannot proceed further. So, the prime factors of 150 are written as 2 x 3 x 5 x 5 or 2 x 3 x 5², where 2, 3 and 5 are the prime numbers.