prove that 32q2 + 32q+10 is not divisible by 4
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AP - Mathematics15. Playing with Numbers
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Given, 322
Need to find out it is divisible by 4 or 8 or both.
⇒ 322 can be written as 1024
⇒ Now, by divisibility rule we have (10c + d) must be divisible by 4
⇒ 1024 is divisible by 4. Since, 10(2) + 4 = 24 is divisible by 4.
⇒ Now, by divisibility rule we have (100b + 10c + d) must be divisible by 8.
⇒ 1024 is divisible by8. Since, 100(0) + 10(2) + 4 = 24 is divisible by 8.
Hence, 322 is divisible by both 4 and 8.
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