The greatest number of containers is 2⁴ = 16 containers.
Since Mr. Pinello has 80 colored pencils and 64 markers to divide into containers for his class. He wants each container to have the same number of items. To find the number of containers, we need to find the highest common factor (H.C.F) of both numbers.
So, writing both numbers in prime factorization, we have
For the 80 colored pencils,
80 = 2 × 2 × 2 × 2 × 5
= 2⁴ × 5
Also, the prime factorization for the 64 markers, we have
64 = 2 × 2 × 2 × 2 × 2 × 2
= 2⁶
So, the highest common factor is 2⁴
So, the greatest number of containers is 2⁴ = 16 containers.
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