Question
Find the GCF of the numbers using an appropriate method.
84 and 126
Find the prime factorization of the number, and write it in exponent form.
198
84 and 126
Find the prime factorization of the number, and write it in exponent form.
198
Answers
Joey
1) Find the prime factors of each respective number.
84 = 2 x 2 x 3 x 7
126 = 2 x 3 x 3 x 7
Multiply the factors both numbers have in common. In this case multiply 2, 3 and 7.
Therefore, the answer is: 42
2) Again, we will find the prime numbers that go into 198. First divide by the smallest prime number that you can think of that goes easily into 198. I generally start with 2.
198/2 = 99
99/3 = 33
33/3 = 11
Therefore, your answers are 3^2, 2, and 11.
84 = 2 x 2 x 3 x 7
126 = 2 x 3 x 3 x 7
Multiply the factors both numbers have in common. In this case multiply 2, 3 and 7.
Therefore, the answer is: 42
2) Again, we will find the prime numbers that go into 198. First divide by the smallest prime number that you can think of that goes easily into 198. I generally start with 2.
198/2 = 99
99/3 = 33
33/3 = 11
Therefore, your answers are 3^2, 2, and 11.
Emilie
84- 2^2 3 7
126- 2 3^2 7
GCF= 2*3*7= 42
198- 2 3^2 11
126- 2 3^2 7
GCF= 2*3*7= 42
198- 2 3^2 11