Last updated on May 26th, 2025
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 755.
The divisibility rule for 755 is a method by which we can find out if a number is divisible by 755 or not without using the division method.
Check whether 1510 is divisible by 755 with the divisibility rule.
Step 1: Since 755 is a large number, it can be cumbersome to apply a simple rule. We can break down 755 into its prime factors: 5, 151. Therefore, a number is divisible by 755 if it is divisible by both 5 and 151.
Step 2: Check divisibility by 5: A number is divisible by 5 if it ends in 0 or 5. Since 1510 ends in 0, it is divisible by 5.
Step 3: Check divisibility by 151: Apply a method or use division to confirm. For illustration, 1510 divided by 151 equals 10, which is an integer.
As both conditions are satisfied, 1510 is divisible by 755.
Learn divisibility rules to help master division. Let’s learn a few tips and tricks for the divisibility rule of 755.
Memorize the factors (5 and 151) to quickly check divisibility. If a number is divisible by both 5 and 151, it is divisible by 755.
While checking large numbers, it might be easier to perform direct division for quick verification.
For numbers that are too large, break them down and check divisibility by each factor separately.
Estimate large numbers by rounding them to the nearest multiple of 755 to see if it is close enough to warrant further checking.
Ensure you check divisibility by both factors separately and don't confuse the steps.
The divisibility rule of 755 helps us quickly check if the given number is divisible by 755, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Is the total cost of $1,510 for 10 identical chairs divisible by 755?
Yes, the total cost of $1,510 is divisible by 755.
To check if 1,510 is divisible by 755, we need to see if dividing it results in a whole number.
1) Divide 1,510 by 755.
2) The result is exactly 2, meaning 1,510 is divisible by 755 without a remainder.
A factory produces 7,550 widgets in a week. Can these widgets be evenly packed into boxes of 755?
Yes, 7,550 widgets can be evenly packed into boxes of 755.
To determine if 7,550 can be divided evenly by 755, perform the division.
1) Divide 7,550 by 755.
2) The result is exactly 10, so 7,550 is divisible by 755 without any leftover widgets.
An art gallery has 755 paintings and wants to distribute them equally into display units. Can each unit hold 100 paintings?
No, 755 paintings cannot be distributed equally into display units of 100.
To check if 755 paintings can be divided into groups of 100:
1) Divide 755 by 100.
2) The result is 7 with a remainder of 55, meaning 755 cannot be divided evenly into groups of 100.
A charity event had 1,510 participants, and each participant received a gift bag. If the cost of gift bags is $755 per 100 bags, is the total cost divisible by 755?
Yes, the total cost is divisible by 755.
To check if the total cost is divisible, calculate the number of 100-bag sets:
1) Divide 1,510 by 100 to get 15.1, round up to 16 sets needed.
2) Multiply 16 by 755 to find the total cost: $12,080.
3) Divide $12,080 by 755; the result is exactly 16, meaning the total cost is divisible by 755.
A ship carries 7,550 tons of cargo. If each container holds 755 tons, can the containers be filled completely without any leftover cargo?
Yes, the containers can be filled completely without any leftover cargo.
To determine if all cargo can be evenly distributed:
1) Divide 7,550 by 755.
2) The result is exactly 10, indicating the cargo can be packed evenly into the containers with no remainder.
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.