Last updated on May 26th, 2025
The divisibility rule is a method to determine whether a number is divisible by another number without performing actual division. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 705.
The divisibility rule for 705 is a method to check if a number is divisible by 705 without performing division. Let's check whether 352,755 is divisible by 705 using the divisibility rule.
Step 1: Check divisibility by 5. A number is divisible by 5 if it ends in 0 or 5. Here, 352,755 ends in 5, so it is divisible by 5.
Step 2: Check divisibility by 3. Add all digits of the number: 3+5+2+7+5+5=27. Since 27 is divisible by 3, 352,755 is divisible by 3.
Step 3: Check divisibility by 47. Divide the number by 47 and see if the remainder is 0. Here, 352,755 ÷ 47 = 7,505 with no remainder, confirming divisibility by 47.
Since 352,755 is divisible by 5, 3, and 47, it is divisible by 705 (5×3×47).
Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 705.
Memorize the prime factors of 705 (5, 3, 47) to quickly check divisibility.
After using divisibility rules, you can use division to verify your results.
If dealing with large numbers, break down the process by checking divisibility by 5, 3, and 47 separately.
When checking for divisibility by 3, always simplify your sum of digits by comparing it with known multiples of 3.
Regular practice will help avoid confusion and make the process second nature.
The divisibility rule of 705 helps us quickly check if a number is divisible by 705, but common mistakes like calculation errors can lead to incorrect results. Here are some common mistakes and how to avoid them:
Is 4230 divisible by 705?
Yes, 4230 is divisible by 705.
To determine if 4230 is divisible by 705, check if dividing 4230 by 705 results in a whole number.
1) Perform the division 4230 ÷ 705, which equals exactly 6.
2) Since the result is a whole number, 4230 is divisible by 705.
Check if 3525 is divisible by 705.
No, 3525 is not divisible by 705.
To check the divisibility of 3525 by 705, perform the division.
1) Divide 3525 by 705, which results in approximately 5.0.
2) Since the division does not yield a whole number, 3525 is not divisible by 705.
Is -2820 divisible by 705?
No, -2820 is not divisible by 705.
To determine the divisibility of -2820 by 705, consider the positive equivalent.
1) Remove the negative sign and divide 2820 by 705.
2) The result is approximately 4.0, which is not a whole number.
3) Therefore, -2820 is not divisible by 705.
Can 7050 be divisible by 705?
Yes, 7050 is divisible by 705.
To verify if 7050 is divisible by 705, perform a simple division.
1) Divide 7050 by 705, which equals exactly 10.
2) Since the result is a whole number, 7050 is divisible by 705.
Check the divisibility of 1410 by 705.
Yes, 1410 is divisible by 705.
To check if 1410 is divisible by 705, perform the division.
1) Divide 1410 by 705, which results in exactly 2.
2) Since the division yields a whole number, 1410 is divisible by 705.
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.
: She loves to read number jokes and games.