SOLUTION: Each of 5 children wrote one of the numbers 1, 2, 4 on the board. Then the written numbers were multiplied. Which number can be the product of those numbers. A) 100 B) 120 C) 2

Algebra ->  Test -> SOLUTION: Each of 5 children wrote one of the numbers 1, 2, 4 on the board. Then the written numbers were multiplied. Which number can be the product of those numbers. A) 100 B) 120 C) 2      Log On


   

Question 1146370: Each of 5 children wrote one of the numbers 1, 2, 4 on the board. Then the written numbers were multiplied. Which number can be the product of those numbers. A) 100 B) 120 C) 256 D) 768 E) 2048
Answer by greenestamps(13200) About Me  (Show Source):
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1 = 2^0
2 = 2^1
4 = 2^2

The product of any 5 of those numbers will be an integral power of 2, with a maximum value of (2^2)^5 = 2^10 = 1024.

Answer choices C and E are the only ones that are integral powers of 2; but answer E is too large.

ANSWER C