Divisibility by 9

When practising quantitative aptitude, it is essential to ensure that a maximum number of equations and problems are solved while there is still some time left to proofread. Now the real challenge is maintaining the balance between the two. Quantitative aptitude is an assessment to understand the individual ability on solving mathematical calculations and numerical problems. 

As a part of the quantitative aptitude test, many concepts need to be clear such as partnership, numbers, average, compound interest, calendar and even heart and distance. Divisibility is one of them. If you apply the right divisibility rule, you can save a lot of time. There are ample divisibility rules for each number. If you want to use the rule of divisibility by 9, you must clarify some concepts on the same. You should focus on how many 3 digit numbers are divisible by 9, but before that, you must practice applying this rule.

Understanding the Base: Divisibility test

As per the name, it is quite clear that is test consist of specific Maths rules that allows the person to check if the number given is divisible by another number without really going through the whole division process. If a number, when divided by another one, a number gives the quotient as a whole number with the remainder being zero, it is divisible. This is the basic rule of numbers divisible by 9 also works for the numbers divisible 2, 3, 6 and so on.

Understanding the Basic Rule of Divisibility

Not every number needs to be divisible by the other number entirely. But then such numbers may have zero as the remainder. This is one of the certain rules that can help the student determine the divisor of the number simply by considering the number digits and not going through the whole division method. You can always explore how many 3 digit numbers are divisible by 9 using the right formula

Another rule you need to understand is that for every number, such a rule of divisibility is applicable. If you are wondering whether there is a scope of number divisibility by 9 possible, then the answer is yes. But some rules can be easy to use compared to the others, and 9 is one such number that you might want to know more about. Often students get confused about how many three-digit numbers are divisible by 9 and for which examples are given for clarity.

Divisibility Rule of 9

Talking about the divisibility by 9, the rule is quite similar to that of the divisibility rule for 3. If the digits total of the given number gets divided by 3 then the number is divisible by 9. To be precise, divisibility by 9 is a rule that helps the student understand if the given number is a multiplication of 9. If the digits totals end to numbers such as 18, 56, 45, or so on that are multiplications of 9 then they can be divisible by 9.

For an instant, consider the number 2234, whose sum will be (2+2+3+4) is 12, which cannot be divided by 9. This means the whole digit 2234 is not divisible.

Consider a number like 34137, whose sum will be (3+4+1+3+7), which can be divided by 9. Thus the whole digit 34137 is divisible. There is no limit on the numbers divisible by 9. Thus how many 3-digit numbers are divisible by 9 should not be confusing.

How can the Divisibility Rule be Important?

Those who have been practising quantitative aptitude test that uses such divisibility by 9 rule will understand how much time they have been saving during equations. But that is not it! This type of rule can also help in different concepts such as finding the measurements, divisor, LCM, division and HCF to name some.

With the numbers divisible by 9 rules, it is convenient to find the number given needs further long division calculation or not. You don’t have to keep calculating how many 3-digit numbers are divisible by 9 using this rule and thus save your time.

Large Numbers Divisibility Rule of 9

There is no change in the rule irrespective of whether the number is large or small. The only difference will be using the test continuously till the sum of the whole digits gets close to 9. If you are still wondering how many three-digit numbers are divisible by 9 and whether the number can be small or large, well it depends on the total of the addition done on the digits.

Divisibility Rule of 9 and 3: The Similarity

The only similarity between the divisibility by 9 and 3 is both work on the same principle. This states that the digits sum of the provided number is divisible by them. To check whether the number can be divided by 3, the total of the digital needs to be done. If it comes to be the multiplication of 3 then the number is divisible. The same is the case with 9 divisibility and hence your answer on how many three-digit numbers are divisible by 9 entirely depends on the sum digit.

Conclusion

The primary aim of quantitative aptitude is to understand whether an individual can work on mathematical calculation and solve numerical problems in less time. This further gives clarity on how the student can work on analysing the data while making sense of it. With concepts of divisibility by 9, students cannot just practise well but also save time on a long calculation of division. Besides, it should not be a hassle for you to understand how many three-digit numbers are divisible by 9. In the end, the divisibility rule is a crucial shortcut that can be used for understanding the divisibility of a certain number by another one. Such simple tricks like numbers divisible by 9 if are learnt can help the student use them further in data interpretation without wasting time.