193 LearnersLast updated on May 26th, 2025
Divisibility Rule of 857
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 857.
What is the Divisibility Rule of 858?
The divisibility rule for 858 is a method by which we can determine if a number is divisible by 858 without using division directly. Check whether 1716 is divisible by 858 using the divisibility rule.
Step 1: Check divisibility by 2. The number must be even. 1716 is even, so it satisfies this step.
Step 2: Check divisibility by 3. Sum the digits of the number: 1 + 7 + 1 + 6 = 15. Since 15 is divisible by 3, 1716 satisfies this step.
Step 3: Check divisibility by 11. Subtract the sum of the digits in odd positions from the sum of the digits in even positions: (1 + 1) - (7 + 6) = 2 - 13 = -11. Since 11 divides -11, 1716 satisfies this step.
Since 1716 is divisible by 2, 3, and 11, it is divisible by 858.
Tips and Tricks for Divisibility Rule of 858
Learning divisibility rules can help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 858.
Know the factors of 858:
Memorize that 858 is divisible by 2, 3, and 11. This helps in quickly checking divisibility.
Use the digit sum for 3:
Always sum the digits of the number to check divisibility by 3.
Use alternating sums for 11:
For divisibility by 11, the alternating sum of digits should be a multiple of 11.
Repeat the process for large numbers:
Keep repeating the divisibility process for each factor until you reach a small number that is easy to check.
Use the division method to verify:
Use actual division to verify and cross-check results, reinforcing learning.
Common Mistakes and How to Avoid Them in Divisibility Rule of 858
The divisibility rule of 858 helps us quickly check if a given number is divisible by 858, but common mistakes like calculation errors can lead to incorrect conclusions. Here, we will identify some common mistakes and how to avoid them.
Mistake 1
Not checking all factors.
Ensure you check divisibility by 2, 3, and 11.
Mistake 2
Miscalculating digit sums for 3.
Carefully add the digits to ensure accurate sums.
Mistake 3
Failing to consider negative alternating sums for 11.
Remember that negative sums can still be multiples of 11.
Mistake 4
Confusing steps for different factors.
Practice regularly to remember the steps for each factor.
Mistake 5
Ignoring one of the factors.
Always verify divisibility by all three factors of 858.
Divisibility Rule of 858 Examples
Problem 1
Is 1716 divisible by 858?
Yes, 1716 is divisible by 858.
Explanation
To check if 1716 is divisible by 858, we can simply divide 1716 by 858.
1) Calculate 1716 ÷ 858 = 2.
2) Since the division results in an integer with no remainder, 1716 is divisible by 858.
Problem 2
Check the divisibility rule of 858 for 3432.
Yes, 3432 is divisible by 858.
Explanation
To check if 3432 is divisible by 858, follow the steps:
1) Divide 3432 by 858, which gives 3432 ÷ 858 = 4.
2) Since the division results in an integer with no remainder, 3432 is divisible by 858.
Problem 3
Is 2574 divisible by 858?
No, 2574 is not divisible by 858
Explanation
To check if 2574 is divisible by 858, follow the steps:
1) Divide 2574 by 858, which gives 2574 ÷ 858 ≈ 3.0023.
2) Since the division results in a non-integer, 2574 is not divisible by 858.
Problem 4
Can 429 be divisible by 858 following the divisibility rule?
No, 429 is not divisible by 858.
Explanation
To check if 429 is divisible by 858, follow the steps:
1) Since 429 is less than 858, dividing 429 by 858 gives a result less than 1 (429 ÷ 858 ≈ 0.5).
2) Therefore, 429 is not divisible by 858.
Problem 5
Check the divisibility rule of 858 for 5154.
Yes, 5154 is divisible by 858.
Explanation
To check if 5154 is divisible by 858, follow the steps:
1) Divide 5154 by 858, which gives 5154 ÷ 858 = 6.
2) Since the division results in an integer with no remainder, 5154 is divisible by 858.
FAQs on Divisibility Rule of 858
1. What is the divisibility rule for 858?
2.How many numbers between 1 and 1000 are divisible by 858?
3.Is 1716 divisible by 858?
4.What if I get a negative alternating sum for 11?
5.Does the divisibility rule of 858 apply to all integers?
6.How can children in Australia use numbers in everyday life to understand Divisibility Rule of 857?
7.What are some fun ways kids in Australia can practice Divisibility Rule of 857 with numbers?
8.What role do numbers and Divisibility Rule of 857 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Divisibility Rule of 857 skills?
Important Glossaries for Divisibility Rule of 858
- Divisibility rule: A set of guidelines used to determine if a number can be divided by another number without a remainder.
- Factors: Numbers that divide another number exactly, without leaving a remainder. For example, the factors of 858 are 2, 3, and 11.
- Multiple: The result of multiplying a number by an integer. For example, multiples of 858 include 858, 1716, etc.
- Alternating sum: A method used in divisibility rules, particularly for 11, involving subtracting and adding digits in alternating positions.
- Even number: A number divisible by 2, such as 2, 4, 6, etc
Explore More numbers
About BrightChamps in Australia
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.
