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124 LearnersLast updated on February 18th, 2025
Divisibility Rule of 970
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 970.
What is the Divisibility Rule of 970?
The divisibility rule for 970 is a method by which we can find out if a number is divisible by 970 or not without using the division method. Check whether 5820 is divisible by 970 with the divisibility rule.
Step 1: Check if the number is divisible by 2. A number is divisible by 2 if it ends in an even digit. Here, 5820 ends in 0, which is even. So, it is divisible by 2.
Step 2: Check if the number is divisible by 5. A number is divisible by 5 if it ends in 0 or 5. Here, 5820 ends in 0, so it is divisible by 5.
Step 3: Check if the number is divisible by 97. Divide 5820 by 97. If it results in a whole number, then the number is divisible by 97. In this case, 5820 divided by 97 equals 60. Therefore, 5820 is divisible by 97.
Since 5820 is divisible by 2, 5, and 97, it is also divisible by 970.
Tips and Tricks for Divisibility Rule of 970
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 970.
Know the factors of 970:
970 = 2 × 5 × 97. Ensure the number is divisible by each of these factors.
Use the divisibility rules for 2, 5, and 97:
Memorize these rules to quickly check divisibility.
Repeat the process for large numbers:
Students should keep repeating the process of checking divisibility by 2, 5, and 97 for large numbers.
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 verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 970
The divisibility rule of 970 helps us to quickly check if a given number is divisible by 970, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps by checking divisibility by 2, 5, and 97.
Divisibility Rule of 970 Examples
Problem 1
Is 3880 divisible by 970?
Yes, 3880 is divisible by 970.
Explanation
To check the divisibility of 3880 by 970, we consider the rule for 970, which is a product of 10, 97, and 1.
1) Check the last digit for divisibility by 10. It ends in 0, so it passes.
2) For divisibility by 97, divide 388 by 97 to see if it is an integer.
3) 388 ÷ 97 = 4, which is an integer, so 3880 is divisible by 970.
Problem 2
Check the divisibility of 5820 by 970.
No, 5820 is not divisible by 970.
Explanation
To check 5820, we apply the rule for 970.
1) Check the last digit for divisibility by 10. It ends in 0, so it passes.
2) For divisibility by 97, divide 582 by 97.
3) 582 ÷ 97 ≈ 6. This is not an integer, so 5820 is not divisible by 970.
Problem 3
Is 7760 divisible by 970?
Yes, 7760 is divisible by 970.
Explanation
Ignore the negative sign and check 7760.
1) The last digit is 0, so it's divisible by 10.
2) Check 776 for divisibility by 97.
3) 776 ÷ 97 = 8, which is an integer, so 7760 is divisible by 970.
Problem 4
Can 2540 be divisible by 970 following the divisibility rule?
No, 2540 isn't divisible by 970.
Explanation
To check 2540:
1) It ends in 0, passing the divisibility by 10.
2) Divide 254 by 97.
3) 254 ÷ 97 ≈ 2.6, which is not an integer, so 2540 isn't divisible by 970.
Problem 5
Check the divisibility rule of 970 for 4850.
Yes, 4850 is divisible by 970.
Explanation
To check 4850:
1) It ends in 0, so it passes the divisibility by 10.
2) Divide 485 by 97.
3) 485 ÷ 97 = 5, which is an integer, so 4850 is divisible by 970.
FAQs on Divisibility Rule of 970
1.What is the divisibility rule for 970?
2.How many numbers are there between 1 and 10,000 that are divisible by 970?
3.Is 4850 divisible by 970?
4.What if I get a remainder when checking divisibility by 97?
5.Does the divisibility rule of 970 apply to all integers?
Important Glossaries for Divisibility Rule of 970
- Divisibility rule: A set of rules used to find out whether a number is divisible by another number.
- Factors: Numbers that divide into another number without leaving a remainder. For example, the factors of 970 are 2, 5, and 97.
- Multiples: Results of multiplying a number by an integer. For example, multiples of 970 are 970, 1940, 2910, etc.
- Integer: A whole number that can be positive, negative, or zero.
- Remainder: The amount left over after division when one number does not divide the other exactly
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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.
