Given the sum 100=64+36, rewrite 64+36 using their GCF and multiplication.(1 point)
To rewrite 64 and 36 using their greatest common factor (GCF) and multiplication, we need to determine the GCF of the two numbers. The GCF of 64 and 36 is 4.
To rewrite 64+36 using their GCF and multiplication, we divide each number by their GCF and multiply it with the GCF:
64 ÷ 4 = 16
36 ÷ 4 = 9
So, 64 + 36 can be rewritten as:
(4 * 16) + (4 * 9)
Which simplifies to:
64 + 36 = 4 * (16 + 9)
To rewrite 64+36 using their greatest common factor (GCF) and multiplication, we need to find the GCF of 64 and 36 first.
Step 1: Find the prime factors of both 64 and 36.
Prime factors of 64: 2^6
Prime factors of 36: 2^2 * 3^2
Step 2: Identify the common prime factors and determine the GCF.
The common prime factor is 2 raised to the lowest power, which is 2^2.
Step 3: Calculate the GCF.
GCF of 64 and 36 = 2^2 = 4
Now that we have the GCF of 64 and 36, we can rewrite the sum using multiplication.
64 + 36 = (4 * 16) + (4 * 9)
Using the GCF of 4, we can rewrite 64 and 36 as multiples of 4. Hence, the sum 64 + 36 can be rewritten as 4 * (16 + 9).
Therefore, 64 + 36 rewritten using their GCF and multiplication is 4 * (16 + 9).