prime factor method of 100, 150 and 200
Answers
Step-by-step explanation:
LCM of numbers are the Least Common Multiple , i.e., the highest power of the factors of the given numbers .. And hence, the LCM of 100, 150 and 200 is 600...
Hope its help...
Prime Factorization of 100
The number 100 is a composite and it should have prime factors. Now let us know how to calculate the prime factors of 100.
Step 1: The first step is to divide the number 100 with the smallest prime factor, say 2.
100 ÷ 2 = 50. Step 2: Again divide 50 by 2 and the process goes on.
50 ÷ 2 = 25 Step 3: You will get a fractional number if you divide 25 by 2 and 3. So continue with the next prime factor, 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 100 are written as 2 x 2 × 5 x 5 or 22 x 52, where 2 and 5 are the prime numbers.
It is possible to find the exact number of factors of a number 100 with the help of prime factorisation. The prime factor of the 100 is 22 x 52. The exponents in the prime factorisation are 2 and 2. Add the number 1 with the exponents and multiply it. (2+1)(2+1) = 3 x 3 = 9. Therefore, the number 100 has 9 factors.
prime factorisation of 150.
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.
It is possible to find the exact number of factors of a number 150 with the help of prime factorization. The prime factor representation of 150 is 2 x 3 x 52. The exponents in the prime factorization are 1, 1 and 2. Add the number 1 with the exponents and multiply it. (1+1)(1+1)(2+1) =2 x 2 x 3= 12. Therefore, the number 150 has 12 factors.
prime factorisation of 200.
As we use prime factorization for 200, we get 2 × 2 × 2 × 5 × 5 = 200. So, the only prime factors of 200 are 2 and 5.