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Explain Bot To rewrite 12 + 18 using the greatest common factor (GCF) and multiplication, we first need to find the GCF of 12 and 18. The GCF is the largest number that divides both 12 and 18 without leaving any remainder.
To find the GCF, we can list the factors of each number:
Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 18: 1, 2, 3, 6, 9, 18
From the list, we can see that the common factors of 12 and 18 are 1, 2, 3, and 6. The largest of these common factors is 6, so the GCF is 6.
Now, we can rewrite 12 + 18 using the GCF and multiplication. We can factor out the GCF from both numbers and rewrite the original expression as a multiplication:
12 + 18 = 6 * 2 + 6 * 3
By factoring out the GCF of 6, we get:
12 + 18 = 6(2 + 3)
Simplifying the expression inside the parentheses:
12 + 18 = 6 * 5
Therefore, the sum 12 + 18 can be rewritten as 6 * 5.