Question 1085322: Fill in the smallest digit to make the number divisible by 4.
1. 15_4 , 21_4 , 32_2
2.1_44 , 163_ , 33_2
Answer by AnlytcPhil(1806)   (Show Source):
You can put this solution on YOUR website!
An integer is divisible by 4 if and only if the
positive integer formed by the last two digits
is divisible by 4.
15_4, the smallest digit that will make the number
formed by the last two digits, _4, divisible
by 4 is 0, because 04 is the same as 4, which
is divisible by 4.
Answer: 1504
21_4, the smallest digit that will make the number
formed by the last two digits, _4, divisible
by 4 is 0, because 04 is the same as 4, which
is divisible by 4.
Answer: 2104
32_2, the smallest digit that will make the number
formed by the last two digits, _2, divisible
by 4 is 1, because 12 is the smallest 2-digit
number which is divisible by 4.
Answer: 3212
----------------------------
1_44, The number formed by the last two digits, 44,
is already divisible by 4, so 1_44 will be
divisible by 4 regardless of what digit fills
the blank. So the smallest digit that can be
placed there is 0
Answer: 1044
163_, the smallest digit that will make the number
formed by the last two digits, 3_, divisible
by 4 is 2, because 32 is the smallest 2-digit
number beginning with 3 that is divisible by 4.
Answer: 1632
33_2, the smallest digit that will make the number
formed by the last two digits, _2, divisible
by 4 is 1, because 12 is the smallest 2-digit
number which is divisible by 4.
Answer: 3312
Edwin
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