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Earn +20 ptsQ: What four digit number is divided by four has a remainder of three?
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What is the smallest three-digit number that gives a three-digit quotient and a remainder of 2 when divided by 4?
-2
What is the remainder when 3 to the power of 2008 divided by 5?
1ExplanationNote the following:31=332=933=2734=8135=24336=72937=218738=6561You will see that the units digit of the powers of three cycles through the following: 3, 9, 7, 1. 3 raised to a multiple of 4 has 1 as the units digit. Because 2008 is a multiple of 4, 32008 has 1 in the units digit (and is thus the remainder when that number is divided by 5).
What is the remainder when thirty one is divided by three?
31 divided by 3 is 10 with remainder 1
What is the remainder when thirty three is divided by seven?
33 divided by 7 is 4 with remainder 5
What is the biggest three-digit number that can be exactly divided by 40?
40*24 = 960 and 960/40 = 24
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