Final answer:
To rewrite 3366 using its greatest common factor and multiplication, we first find the GCF of 33 and 66, which is 33. Thus, 3366 can be expressed as the product of its GCF, 33, and the number 102, resulting in 33(102).
Step-by-step explanation:
The question asks to rewrite the number 3366 using its greatest common factor (GCF) and multiplication. To find the GCF of 3366, we need to factor both numbers and find the highest common factor they share. Starting with the prime factorization, we have:
- 33 = 3 x 11
- 66 = 2 x 3 x 11
The greatest common factor is 3 x 11, which is 33. Therefore, we can express 3366 as 33(102), because 33 x 102 equals 3366. This shows that 3366 can be written as a product of its GCF and another number.