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118 LearnersLast updated on February 26th, 2025
Divisibility Rule of 901
The divisibility rule is a way to find out whether a number is divisible by another number without using the division method. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 901.
What is the Divisibility Rule of 901?
The divisibility rule for 901 is a method by which we can find out if a number is divisible by 901 or not without using the division method. Check whether 1802 is divisible by 901 with the divisibility rule.
Step 1: Divide the number into two parts: the first part containing all but the last three digits, and the second part containing just the last three digits. For 1802, divide it into 1 (first part) and 802 (second part).
Step 2: Multiply the first part by 1001. 1 × 1001 = 1001.
Step 3: Add the result from Step 2 to the second part. 1001 + 802 = 1803.
Step 4: Check if 1803 is a multiple of 901. Since it's not, 1802 is not divisible by 901.
Tips and Tricks for Divisibility Rule of 901
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 901.
Know the multiples of 901:
Memorize the multiples of 901 (901, 1802, 2703…etc.) to quickly check for divisibility. If the result from the addition is a multiple of 901, then the number is divisible by 901.
Break down large numbers:
Students should break down large numbers into smaller parts and apply the divisibility rule to each part.
Use the division method to verify:
Students can use the division method as a way to verify and crosscheck their results. This will help them to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 901
The divisibility rule of 901 helps us to quickly check if a given number is divisible by 901, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not following the correct steps.
Students should follow the correct steps: dividing the number into parts, multiplying the first part by 1001, and then adding the second part. Finally, checking whether the result is a multiple of 901.
Divisibility Rule of 901 Examples
Problem 1
Is the number of pages in a book, 1802, divisible by 901?
No, 1802 is not divisible by 901.
Explanation
To check if 1802 is divisible by 901, we need to perform the following steps:
1) Divide the number by 901 directly, as 901 is large enough and its rule involves straightforward division.
2) 1802 ÷ 901 = 2 with a remainder of 0.
3) Since there is no remainder, 1802 is not divisible by 901.
Problem 2
A shipment contains 2703 items. Verify if the total number of items is divisible by 901.
Yes, 2703 is divisible by 901.
Explanation
Check the divisibility by simple division:
1) Divide 2703 by 901.
2) 2703 ÷ 901 = 3 with no remainder.
3) Since there is no remainder, 2703 is divisible by 901.
Problem 3
Is the total cost of goods, $4505, divisible by 901?
No, 4505 is not divisible by 901.
Explanation
To determine if $4505 is divisible by 901:
1) Perform direct division: 4505 ÷ 901.
2) 4505 ÷ 901 = 5 with a remainder of 600.
3) The remainder indicates that 4505 is not divisible by 901.
Problem 4
A warehouse has 9010 units of a product. Is this number divisible by 901?
Yes, 9010 is divisible by 901.
Explanation
Check divisibility by direct division:
1) Divide 9010 by 901.
2) 9010 ÷ 901 = 10 with no remainder.
3) Since the division yields a whole number with no remainder, 9010 is divisible by 901.
Problem 5
A batch of 45050 widgets is produced. Determine if the batch size is divisible by 901.
No, 45050 is not divisible by 901.
Explanation
Verify divisibility:
1) Divide 45050 by 901.
2) 45050 ÷ 901 = 50 with a remainder of 50.
3) The presence of a remainder indicates that 45050 is not divisible by 901.
FAQs on Divisibility Rule of 901
1.What is the divisibility rule for 901?
2.How many numbers are there between 1 and 10000 that are divisible by 901?
3. Is 2703 divisible by 901?
4.What if I get 0 after subtraction?
5. Does the divisibility rule of 901 apply to all integers?
Important Glossaries for Divisibility Rule of 901
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 901 are 901, 1802, 2703, etc.
- Integer: An integer includes all whole numbers, negative numbers, and zero.
- Addition: Addition is the process of finding the sum of two or more numbers.
- Division method: A mathematical approach used to determine how many times one number is contained within another.
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Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
