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 763.
The divisibility rule for 763 is a method by which we can find out if a number is divisible by 763 or not without using the division method. Let's check whether 1526 is divisible by 763 using the divisibility rule.
Step 1: Multiply the last digit of the number by 2, here in 1526, 6 is the last digit. Multiply it by 2. 6 × 2 = 12.
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 152 - 12 = 140.
Step 3: As it is shown that 140 is a multiple of 763, therefore, the number is divisible by 763. If the result from step 2 isn't a multiple of 763, then the number isn't divisible by 763.
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 763.
The divisibility rule of 763 helps us to quickly check if the given number is divisible by 763, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you to understand.
Is 229,719 divisible by 763?
Yes, 229,719 is divisible by 763.
To determine divisibility by 763, follow these steps:
1) Multiply the last digit by 3, 9 × 3 = 27.
2) Subtract the result from the remaining number, 22,971 - 27 = 22,944.
3) If the result is still large, repeat the process: 4 × 3 = 12.
4) Subtract again, 2,294 - 12 = 2,282.
5) Finally, multiply the last digit by 3, 2 × 3 = 6.
6) Subtract, 228 - 6 = 222.
7) Check if 222 is a multiple of 763. Yes, 222 is a multiple of 763 (763 × 0.291 = 222).
Check the divisibility rule of 763 for 153,906.
No, 153,906 is not divisible by 763.
Follow these steps:
1) Multiply the last digit by 3, 6 × 3 = 18.
2) Subtract the result from the remaining number, 15,390 - 18 = 15,372.
3) Repeat: 2 × 3 = 6.
4) Subtract, 1,537 - 6 = 1,531.
5) Check if 1,531 is a multiple of 763. No, 1,531 is not a multiple of 763.
Is -458,596 divisible by 763?
No, -458,596 is not divisible by 763.
Remove the negative sign and check divisibility:
1) Multiply the last digit by 3, 6 × 3 = 18.
2) Subtract from the remaining digits, 45,859 - 18 = 45,841.
3) Repeat: 1 × 3 = 3.
4) Subtract, 4,584 - 3 = 4,581.
5) Check if 4,581 is a multiple of 763. No, 4,581 is not a multiple of 763.
Can 763 be divisible by itself following the divisibility rule?
Yes, 763 is divisible by 763.
Any number is divisible by itself.
1) Multiply the last digit by 3, 3 × 3 = 9.
2) Subtract from the remaining digits, 76 - 9 = 67.
3) Check if 67 is a multiple of 763. Yes, 67 is 0 times 763.
Check the divisibility rule of 763 for 1,526.
Yes, 1,526 is divisible by 763.
Follow these steps:
1) Multiply the last digit by 3, 6 × 3 = 18.
2) Subtract from the remaining digits, 152 - 18 = 134.
3) Check if 134 is a multiple of 763. Yes, 134 is 0.1757 times 763, making 1,526 divisible by 763.
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.