how to find divisors of a number

how to find divisors of a number To find the divisors of a number you need to write 1 as the first divisor Decompose the original number into prime factors and write out of the resulting prime factors that are divisors of the original number if a factor repeats then write it out only once

With this tool you can instantly find all factors of a number including one and number itself or you can get proper factors which is all divisors without the number itself You can also calculate factors of several values at once by writing each value on a new line How to find number of divisors of a number Solution Compute required divisors Write the number in this form n p a q b r c n is the number p q r are prime numbers and a b and c are the powers The number of divisors a 1 b 1 c 1 Example 12 2 2 3 1 Number of divisors of 12 2 1 1 1 3 2 6

how to find divisors of a number

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To find the number of divisors you must first express the number in its prime factors Example How many divisors are there of the number 12 12 2 2 x 3 The number 2 can be chosen 0 times 1 time 2 times 3 ways The integer b b non zero b N 0 b N 0 is a divisor of the integer a a N N if there is a integer c c N N such that c a b c a b NB c c is an integer without decimal part In this case c c is represented as a division of a a by b b so b b is indeed a divisor of a a a a is divisible by b b

How to Identify the Divisor Identifying a divisor is quite simple It is the number by which a given number dividend is divided Example If we divide the number 45 by 9 it can be represented as 45 div 9 Here 45 is the dividend We are dividing 45 by 9 Thus 9 is the divisor There are different ways to write a division problem A number that divides another number with or without leaving a remainder is called a divisor There are different ways to write a division problem The following figure shows the different ways in which division is expressed and it shows how to identify the divisor the dividend and the quotient

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For any natural number N the divisors also known as factors are those numbers that divide the number N without leaving a remainder For example Divisors of 15 are 1 3 5 15 All divisors of 24 are 1 2 3 4 6 8 12 24 How to find the Divisors of a number The key here is the prime factors of that number The most basic method for computing divisors is exhaustive trial division If we want to find the positive divisors for an integer n we just take the integers 1 2 3 n divide n by each and those that divide evenly make up the set of positive divisors for n This method works well and is rather simple but it is also quite inefficient

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