When is number divisible by 9

Consider the following. Multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, …………… etc. In worksheet on multiples of that numbers, all grade students can practice the questions on multiples.

This exercise sheet on multiples can be practiced by the students to get more ideas on the numbers that are being multiplied. Write any four multiples of: 7. Prime factorisation or complete factorisation of the given number is to express a given number as a product of prime factor.

When a number is expressed as the product of its prime factors, it is called prime factorization. So 2 and 3 are prime factors. Prime factor is the factor of the given number which is a prime number also. How to find the prime factors of a number? Let us take an example to find prime factors of We need to divide by the first prime number 2 we get Now we need to divide by the prime. The properties of multiples are discussed step by step according to its property. Every number is the multiple of itself.

Zero 0 is a multiple of every number. Every multiple except zero is either equal to or greater than any of its factors. What are multiples? Practice the questions given in the worksheet on hcf highest common factor by factorization method, prime factorization method and division method. Find the common factors of the following numbers. In this method we first divide the greater number by the smaller number.

The remainder becomes the new divisor and the previous divisor as the new dividend. We continue the process until we get 0 remainder. Finding highest common factor H.

F by prime factorization for. Properties of Divisibility. Divisible by 2. Divisible by 3. Divisible by 4. To check if a number is divisible by 3 or not, the sum of all the digits of the number should be divisible by 3, while on the other hand in the case of divisibility rule by 9, if the sum of all the digits of the number is divisible by 9, then the number is also a multiple of 9.

For example, to find whether is divisible by 9 and 3 or not, let us find the sum of the digits. The sum '9' is divisible by both 9 and 3, therefore, is divisible by both 9 and 3. Here, one important fact is that every number which is divisible by 9 is also divisible by 3 because 9 is itself a multiple of 3. On the other hand, every number which is divisible by 3 may or may not be divisible by 9. We have already discussed the divisibility rule of 9, so here let's understand the divisibility by It is by finding the difference of the sum of digits at even places and at odd places.

Both the rules are based on the sum of digits, but in the case of 11, we have to find the sum of digits at odd place values and at even place values separately, and then if the difference between the two sums is divisible by 11, the number will also be divisible by For example, let us find whether is divisible by 9 and 11 or not.

So, is divisible by both 9 and Example 1: Using the divisibility rule of 9, state whether is divisible by 9 or not. Solution: Let us find the sum of all the digits of the number Here, 13 is not divisible by 9, so as per the divisibility test by 9, we can say that is also not divisible by 9.

Example 2: Check the divisibility of by 9, without performing long division. Solution: We can use the divisibility test of 9 here which states that if the sum of all the digits of a number is divisible by 9, then the number is also divisible by 9. Therefore, we can say that is divisible by 9. Example 3: Find the smallest 3-digit number divisible by 9.

Solution: The smallest 3-digit number is But to check which smallest number of 3 digits can be a multiple of 9, we have to find the sum of the digits. Now we have to find a digit that could come in the blank such that the sum of 1 and that digit is 9. Therefore, is the smallest 3-digit number which is divisible by 9. The divisibility rule of 9 states that when the sum of all the digits of a number is divisible by 9, then only the number would be divisible by 9.

You can use this shortcut with any integer in existence. This article was written by a professional writer, copy edited and fact checked through a multi-point auditing system, in efforts to ensure our readers only receive the best information. To submit your questions or ideas, or to simply learn more, see our about us page: link below. Updated April 24, Use addition to add every single digit in your number together.

Add the numbers together again, if the sum is higher than Repeat steps 1 and 2 as many times as you need, until you get a single number. How to Divide Rational Numbers.