Using the GCF for one term, how can you write 64 divided by 28
To write 64 divided by 28 using the greatest common factor (GCF) for one term, you need to find the highest common factor of 64 and 28 and divide both numbers by that factor.
The GCF of 64 and 28 is 4.
So, dividing both numbers by 4, the equation becomes:
64 divided by 4 is 16.
28 divided by 4 is 7.
Therefore, 64 divided by 28 is equal to 16 divided by 7.
To simplify the expression 64 divided by 28 using the Greatest Common Factor (GCF), you first need to find the GCF of the two numbers. The GCF of 64 and 28 is 4.
Next, you divide both numbers by the GCF to simplify the expression:
64 divided by 4 = 16
28 divided by 4 = 7
Therefore, 64 divided by 28 is equal to 16 divided by 7, which cannot be simplified further.
To write 64 divided by 28 using the greatest common factor (GCF) for one term, we need to find the largest number that can divide both 64 and 28 evenly.
Step 1: Find the prime factorization of both 64 and 28.
The prime factorization of 64 is 2 * 2 * 2 * 2 * 2 * 2 = 2^6.
The prime factorization of 28 is 2 * 2 * 7 = 2^2 * 7.
Step 2: Identify the common factors.
From the prime factorization, we can see that both 64 and 28 have two 2s as common factors (2^2).
Step 3: Use the common factors to simplify the division.
To simplify the division, we divide both 64 and 28 by the GCF (2^2).
64 ÷ 28 = (2^6) ÷ (2^2)
= 2^(6-2) [Using the rule of exponentiation: dividing exponents with the same base, subtract the exponents]
= 2^4
= 16
Therefore, 64 divided by 28 using the GCF for one term is equal to 16.