How many 3 digit numbers are divisible 12
Answers
How many three digit numbers are
divisible by 12?
Answer-75
Below is a list of all three digit numbers divisible by 12 in chronological order. There are 75 three digit numbers divisible by 12.
108, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228, 240, 252, 264, 276, 288, 300, 312, 324, 336, 348, 360, 372, 384, 396, 408, 420, 432, 444, 456, 468, 480, 492, 504, 516, 528, 540, 552, 564, 576, 588, 600, 612, 624, 636, 648, 660, 672, 684, 696, 708, 720, 732, 744, 756, 768, 780, 792, 804, 816, 828, 840, 852, 864, 876, 888, 900, 912, 924, 936, 948, 960, 972, 984, 996.
The number of 3-digit numbers divisible by 12 can be found by the formula:
nth = a + (n-1)d,
996 = 108+ (n-1)12,
888 = (n - 1)12,
(n-1)= 74,
n = 75.
The question asks for the number of 3-digit numbers that are divisible by 12.
A number is said to be divisible by 12 if it is divisible by both 3 and 4.
To find the smallest 3-digit number that is divisible by 12, we multiply 108 by 12, which is the smallest 3-digit number divisible by 12.
On the other hand, the largest 3-digit number is 999.
To find the number of 3-digit numbers divisible by 12, we simply subtract the smallest 3-digit number divisible by 12 from the largest 3-digit number and divide the result by 12.
The final step is to add 1 to account for the lower and upper bounds.
To summarize, there are 75, 3-digit numbers that are divisible by 12, starting from 108 and ending at 996.
For more such questions on Divisibility: https://brainly.in/question/53476295
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