how many three digit numbers are divisible by 4
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we have 225 three digit numbers that are divisible by 4.
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3 digit number starting from 100 to 999 are 1000–99 = 901
100,104,108,112,116,………………………996
This will form an arithmetic progression (A.P.)
Here a= 100, d= 4, tn or nth term = 996
We know that an= a+(n-1)d
996=100+(n-1)4,
896/4= n-1,
n-1= 224,
n= 225
Hence there are 225
3-digit numbers divisible by 4..
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100,104,108,112,116,………………………996
This will form an arithmetic progression (A.P.)
Here a= 100, d= 4, tn or nth term = 996
We know that an= a+(n-1)d
996=100+(n-1)4,
896/4= n-1,
n-1= 224,
n= 225
Hence there are 225
3-digit numbers divisible by 4..
I hope it is helped you
follow me
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