tag:blogger.com,1999:blog-89001046906230789332024-11-01T03:35:00.636-07:00Get Maths DoneVisit everyday for tips and tricks solving math problems. From Algebra to calculus we cover everything.Dipteshhttp://www.blogger.com/profile/09177941805938714715noreply@blogger.comBlogger1125tag:blogger.com,1999:blog-8900104690623078933.post-11177660058131752372020-02-17T07:43:00.001-08:002020-02-17T07:50:27.269-08:00Division Tricks.<b>These are some easy tricks you can use to calculate divisors of any given number.</b><div>Very helpful for competitive exams.</div><div>(✷‿✷)</div><div><br></div><div>i)Number divisible by 1: The easiest. Need not to elaborate.</div><div><br></div><div>ii)Number divisible by 2:I bet you know what's an even number is!?</div><div><br></div><div>iii)Number divisible by 3: Just add all the digits in the given number. If the sum is divisible by 3 then the given number can be divided by 3 too.</div><div>eg. For the number 123456. Sum of the digits are 1+2+3+4+5+6=21 it's divisible by 3 hence the given number is divisible by 3.</div><div><br></div><div>(Same goes with 9, if the sum is divisible by 9 )</div><div><br></div><div>iv)Number divisible by 4: Check the number formed by last two digits. If it's 00 or a number divisible 4 then your number is divisible by 4.</div><div>eg. For the number 253154244 , the number formed by last two digits is 44, divisible by 4 hence the given number is divisible by 4.</div><div><br></div><div>v)Number divisible by 5: If the last digit is either 0 or 5, the number is divisible by 5.</div><div><br></div><div>vi)Number divisible by 6: If the number is divisible by both 2 and 3 it's divisible by 6</div><div>( Follow steps ii and iii)</div><div><br></div><div>vii)Number divisible by 7: To determine if a number is divisible by 7, take the last digit off the number,
double it and subtract the doubled number from the remaining number. If the
result is evenly divisible by 7 (e.g. 14, 7, 0, -7, etc.), then the number is
divisible by seven. This may need to be repeated several times.</div><div><br></div><div>Or,</div><div>If you have a 9 digit number, make three numbers taking 3digits at a time from right to left and substruct the sum of the odd ones with the number in the even position.</div><div>If it's zero or a multiple of 7 the given number is divisible by 7.<br></div><div>eg. Is the number <u>264 389 132</u> divisible by 7?</div><div>1. We make three numbers 264,389,132</div><div>2. Sum of the numbers in odd position </div><div>= 264+132 = 396</div><div>And the number in even position is 389</div><div>3. Hence the resulten = 396-389=7</div><div>Hence the given number is divisible by 7.</div><div><br></div><div>viii)Number divisible by 8: Create a number using last 3 digits if it's divisible by 8, the given number is divisible by 8.</div><div><br></div><div>ix)Number divisible by 9: Sum all the digits and form a number. If the resulten is divisible by 9 , the given number is divisible by 9.</div><div><br></div><div>x)Number divisible by 10: If it has 0 as the last digit, it's divisible by 10.</div><div><br></div><div>xi)Number divisible by 11: Find the sum of all terms in even positions and the sum of all terms in odd position . Substruct the results if it's zero or a multiple of 11, the given number is divisible by 11.</div><div><br></div><div>xii)Number divisible by 12: If the number is divisible by both 3 and 4 it's divisible by 12.</div><div><br></div><div>xiii)Number divisible by 13:If you have a 9 digit number make three numbers taking 3digits at a time from right to left and substruct the sum of the odd ones with the number in the even position.If it's zero or a multiple of 13 the given number is divisible by 13.</div><div><br></div><div>xiv)Number divisible by 14: If the given number is separately divisible by 2 and 7 then it's divisible by 14.</div><div><br></div><div>xv)Number divisible by 15: If the given number is separately divisible by 3 and 5 then it's divisible by 15.</div><div><br></div><div>xvi)Number divisible by 16: Check the number formed by last three digits. If it's 000 or a number divisible 16 then your number is divisible by 16.</div><div>eg. For the number 253154160 , the number formed by last three digits is 160, divisible by 16 hence the given number is divisible by 16.</div><div><br></div><div>xvii)Number divisible by 17: Take the last digit and multiply it by 5 and substruct from the remaining number if the resulten is a multiple of 17 , the given number is divisible by 17. This step can be repeated to obtain a moderately easy form of number.</div><div><br></div><div>xviii)Number divisible by 18: If the given number is separately divisible by 9 and 2 then it's divisible by 18.<br></div><div><br></div><div>xix)Number divisible by 19:Add two times the last digit to the remaining leading truncated number. If the result is <b>divisible by 19</b>, then so was the first number. Apply this rule over and over again as necessary.</div><div><br></div><div>xx)Number divisible by 20: If the number is separately divisible by 4 & 5 then it's divisible by 20.</div><div><br></div><div>That's it for now. Will update more division tricks for prime numbers later. Thanks for reading.</div><div><br></div><div><br></div>Dipteshhttp://www.blogger.com/profile/09177941805938714715noreply@blogger.com0