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E:\Working\Focus_Learning\Math_Genius_5_(05-10-2023)\Open_Files\CHAP_03
\\February 16, 2024 2:20 PM Surender Prajapati Proof 5 Reader _________________________ Date: ___________________74
test oF divisiBility
A number
is divisible divisibility rule examples
by
if the digit at its ones place is 0, 2, 4, 6 252, 1484, 5498 and 3200 are
2 or 8. divisible by 2.
if the sum of the digits of a number is 6381 is divisible by 3. As (6 + 3 + 8 +
3 divisible by 3. 1 = 18, and 18 ÷ 3 = 6).
if the number formed by last two digits 328 is divisible by 4. As, number
4 (tens and ones digit) of the number is formed by last 2 digits is divisible by
divisible by 4. 4, i.e., 28 ÷ 4 = 7.
if the digit at its ones place is either 0 or 475, 500 and 2555 are divisible by 5.
5 5.
if the number is divisible by both 2 and 3. 3144 is divisible by 2 and 3 (As 3 + 1
6 + 4 + 4 = 12 which is divisible by 3).
if the number formed by last three digits 4328 is divisible by 8. As, number
8 (hundreds, tens and ones digit) of the formed by last 3-digits is divisible by
number is divisible by 8. 8, i.e., 328 ÷ 8 = 41.
if the sum of the digits of a number is 6192 is divisible by 9. As, 6 + 1 + 9 +
9 divisible by 9. 2 = 18, which is divisible by 9.
if the digit at the ones place is 0. 1050, 3000 and 5500 are divisible by
10 10.
if the difference of sum of digits at odd 25861 is divisible by 11.
11 places and sum of digits at even places is As [(2 + 8 + 1) – (5 + 6) = (11 – 11)
0 or divisible by 11.
= 0
A number is divisible by 7, if the difference between twice the Subject Enrichment
ones digit of the given number and the remaining part of the given 383 6
number should be a multiple of 7 or it should be equal to 0.
For example: 3836 is divisible by 7. As 6 × 2 = 12
383 – 12 = 371
383 – 2 × 6 = 383 – 12 = 371 and 371 ÷ 7 = 53.
Think and Answer
Take the help of the Internet and find the pin code of your area. Is
your area pin code divisible by 11?
Mathematics-5 63

