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Oct 9, 2024 · A number is divisible by 15 = 3 × 5 if and only if it is divisible by 3 and 5. A number is divisible by 18 = 2 × 3² if and only if it is divisible by 2 and 9. A number is divisible by 20 = 2² × 5 if and only if it is divisible by 4 and by 5. Simple — automatic even — but less and less useful, right? However, sometimes we can rephrase ...
- Anna Szczepanek
According to the divisibility rule of 3, any big number is exactly divisible by 3 if the sum of the digits is a multiple of 3. For example, the number 2,146,497 is exactly divisible by 3, where quotient = 715,499 and remainder = 0. The sum of all digits is 2 + 1 + 4 + 6 + 4 + 9 + 7 = 33 and 33 is exactly divisible by 3.
If the number is divisible by both 3 and 4, then the number is divisible by 12 . Example: 4880. Sum of the digits $= 4 + 8 + 8 + 0 = 20$ (not a multiple of 3) Last two digits $= 80$ (divisible by 4) The given number 4880 is divisible by 4 but not by 3. Thus, 4880 is not divisible by 12. Divisibility Rules of 13
Or use the "3" rule: 7+2+3=12, and 12 ÷ 3 = 4 exactly Yes. Note: Zero is divisible by any number (except by itself), so gets a "yes" to all these tests. Any integer (not a fraction) is divisible by 1. The last digit is even (0,2,4,6,8) The sum of the digits is divisible by 3. This rule can be repeated when needed:
From the divisibility rules, we know that a number is divisible by 12 if it is divisible by both 3 and 4. Therefore, we just need to check that 1,481,481,468 is divisible by 3 and 4. Applying the divisibility test for 3, we get that \(1+4+8+1+4+8+1+4+6+8=45,\) which is divisible by 3. Hence 1,481,481,468 is divisible by 3.
Since the last two digits, 12, are divisible by 4, the number 112 is also divisible by 4. 10,948: The last two digits, 48, are divisible by 4. Therefore, the whole number is also. 100,002,088: Yep, this satisfies rule because 88 is divisible by 4!-12,036: 36 and 36 is evenly divided by 4, so -12,036 passes the test!
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The basic rule for divisibility by 4 is that if the number formed by the last two digits in a number is divisible by 4, the original number is divisible by 4; [2] [3] this is because 100 is divisible by 4 and so adding hundreds, thousands, etc. is simply adding another number that is divisible by 4. If any number ends in a two digit number that you know is divisible by 4 (e.g. 24, 04, 08, etc ...
