বিভাজ্যতা (Divisibility) শর্টকাট নিয়ম শুধুমাত্র পাঠ্যবই গণিতের জন্য নয়, এই নিয়মগুলো জানা থাকলে অনেক পরীক্ষাতেও এই জাতীয় প্রশ্নের উত্তর দেয়াও সহজ হবে। নিচের যে কোন একটি চার্ট ভালভাবে খেয়াল কর এবং অনুশীলন কর যেন যেকোন পরীক্ষাতে দ্রুত এর সমাধান করতে পার।
If you want to know whether or not a large number can be divided by a single-digit number without leaving a remainder, there are some handy little tricks you can use. You can use a calculator to see immediately hether or not any number is “cleanly” divisible by any other, but the following rules can be interesting anyway.
• A natural number is divisible by 2 without a remainder if it is even.
• A natural number is divisible by 3 without a remainder if the sum of the digits in its numeral is a natural number multiple of 3.
• A natural number is divisible by 5 without a remainder if its numeral ends in either 0 or 5.
• A natural number is divisible by 9 without a remainder if the sum of the digits in its numeral is a natural number multiple of 9.
• A natural number is divisible by 10 without a remainder if its numeral ends in 0.
• A natural number is divisible by 4 without a remainder you get an even number after dividing it by 2.
• A natural number is divisible by 6 without a remainder if it is even and the sum of its digits is a natural-number multiple of 3.
• A natural number is divisible by 8 without a remainder if you can divide it by 2 and get an even number, and then divide that number by 2 again and get an even number.
There aren’t any convenient tricks, other than using a calculator or performing “long division,” to find out if a natural number is divisible by 7 without leaving a remainder.
If you want to know whether or not a large number can be divided by a single-digit number without leaving a remainder, there are some handy little tricks you can use. You can use a calculator to see immediately hether or not any number is “cleanly” divisible by any other, but the following rules can be interesting anyway.
• A natural number is divisible by 2 without a remainder if it is even.
• A natural number is divisible by 3 without a remainder if the sum of the digits in its numeral is a natural number multiple of 3.
• A natural number is divisible by 5 without a remainder if its numeral ends in either 0 or 5.
• A natural number is divisible by 9 without a remainder if the sum of the digits in its numeral is a natural number multiple of 9.
• A natural number is divisible by 10 without a remainder if its numeral ends in 0.
• A natural number is divisible by 4 without a remainder you get an even number after dividing it by 2.
• A natural number is divisible by 6 without a remainder if it is even and the sum of its digits is a natural-number multiple of 3.
• A natural number is divisible by 8 without a remainder if you can divide it by 2 and get an even number, and then divide that number by 2 again and get an even number.
There aren’t any convenient tricks, other than using a calculator or performing “long division,” to find out if a natural number is divisible by 7 without leaving a remainder.
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