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135 LearnersLast updated on February 13th, 2025
Divisibility Rule of 445
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 445.
What is the Divisibility Rule of 445?
The divisibility rule for 445 is a method by which we can find out if a number is divisible by 445 or not without using the division method. Check whether 890 is divisible by 445 with the divisibility rule.
Step 1: Divide the number into groups of three digits starting from the right. Here in 890, we have only one group: 890.
Step 2: Check if each group is divisible by 445. Since we only have one group, we simply check 890.
Step 3: As 890 is not a multiple of 445, the number is not divisible by 445. If the group(s) were divisible by 445, then the number would be divisible by 445.
Tips and Tricks for Divisibility Rule of 445
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 445.
- Know the multiples of 445: Memorize the multiples of 445 (445, 890, 1335, etc.) to quickly check divisibility. If the group is a multiple of 445, the number is divisible by 445.
- Use smaller numbers: If the number is large, break it down into smaller groups of three digits to simplify checking each group’s divisibility.
- 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 445
The divisibility rule of 445 helps us to quickly check if the given number is divisible by 445, but common mistakes like calculation errors can lead to incorrect results. 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, which are dividing the number into groups of three digits and then checking if each group is a multiple of 445.
Divisibility Rule of 445 Examples
Problem 1
Is 1335 divisible by 445?
Yes, 1335 is divisible by 445.
Explanation
To check the divisibility of 1335 by 445, we follow these steps:
1) Divide the number 1335 by 445 directly.
2) 1335 ÷ 445 = 3.
3) Since the result is a whole number, 1335 is divisible by 445.
Problem 2
Check the divisibility rule of 445 for 1780.
No, 1780 is not divisible by 445.
Explanation
To check if 1780 is divisible by 445:
1) Divide 1780 by 445 directly.
2) 1780 ÷ 445 ≈ 4.000.
3) Since the result is not a whole number, 1780 is not divisible by 445.
Problem 3
Is 890 divisible by 445?
No, 890 is not divisible by 445.
Explanation
To determine if 890 is divisible by 445:
1) Divide 890 by 445 directly.
2) 890 ÷ 445 = 2.
3) Since the result is not a whole number, 890 is not divisible by 445.
Problem 4
Can 2670 be divisible by 445 following the divisibility rule?
Yes, 2670 is divisible by 445.
Explanation
To check if 2670 is divisible by 445:
1) Divide 2670 by 445 directly.
2) 2670 ÷ 445 = 6.
3) Since the result is a whole number, 2670 is divisible by 445.
Problem 5
Check the divisibility rule of 445 for 4450.
Yes, 4450 is divisible by 445.
Explanation
To check if 4450 is divisible by 445:
1) Divide 4450 by 445 directly.
2) 4450 ÷ 445 = 10.
3) Since the result is a whole number, 4450 is divisible by 445.
FAQs on Divisibility Rule of 445
1.What is the divisibility rule for 445?
2.How many numbers are there between 1 and 1000 that are divisible by 445?
3.Is 1335 divisible by 445?
4.What if I get 0 after checking a group?
5.Does the divisibility rule of 445 apply to all integers?
Important Glossaries for Divisibility Rule of 445
- Divisibility Rule: The set of rules used to determine if a number is divisible by another number without direct division.
- Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 445 are 445, 890, 1335, etc.
- Division Method: A mathematical operation where a number is divided to verify its divisibility.
- Integer: Whole numbers, including negative numbers and zero.
- Grouping: The process of dividing a number into sets of digits to facilitate easier calculation or verification.
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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.
