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 73.
The divisibility rule for 73 is a method by which we can find out if a number is divisible by 73 or not without using the division method. Check whether 5843 is divisible by 73 with the divisibility rule.
Step 1: Multiply the last digit of the number by 4, here in 5843, 3 is the last digit, so multiply it by 4. 3 × 4 = 12.
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 584–12 = 572.
Step 3: As shown, 572 is a multiple of 73, therefore, the number is divisible by 73. If the result from step 2 isn't a multiple of 73, then the number isn't divisible by 73.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 73.
The divisibility rule of 73 helps us to quickly check if the given number is divisible by 73, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you to understand.
Is 2924 divisible by 73?
Yes, 2924 is divisible by 73.
To check if 2924 is divisible by 73, follow these steps:
1) Multiply the last digit of the number by 9, 4 × 9 = 36.
2) Subtract the result from the remaining digits excluding the last digit, 292 - 36 = 256.
3) Check if 256 is a multiple of 73. Yes, 256 is a multiple of 73 (73 × 3.5 = 255.5, rounding due to integer nature). Thus, 2924 is divisible by 73.
Can 5112 be divided by 73 using the divisibility rule?
No, 5112 is not divisible by 73.
To check divisibility by 73 for 5112, proceed with these steps:
1) Multiply the last digit by 9, 2 × 9 = 18.
2) Subtract the result from the remaining digits, 511 - 18 = 493.
3) Check if 493 is a multiple of 73. No, 493 is not a multiple of 73 (73 × 6 = 438, 73 × 7 = 511). Therefore, 5112 is not divisible by 73.
Is 5841 divisible by 73?
Yes, 5841 is divisible by 73.
To determine if 5841 is divisible by 73, apply the rule:
1) Multiply the last digit by 9, 1 × 9 = 9.
2) Subtract the result from the remaining digits, 584 - 9 = 575.
3) Check if 575 is a multiple of 73. Yes, 575 is a multiple of 73 (73 × 7 = 511, 73 × 8 = 584). Hence, 5841 is divisible by 73.
Check if 1943 follows the divisibility rule of 73.
No, 1943 is not divisible by 73.
Use the divisibility rule for 73 on 1943:
1) Multiply the last digit by 9, 3 × 9 = 27.
2) Subtract the result from the remaining digits, 194 - 27 = 167.
3) Check if 167 is a multiple of 73. No, 167 is not a multiple of 73 (73 × 2 = 146, 73 × 3 = 219). Thus, 1943 is not divisible by 73.
Verify if 8765 is divisible by 73.
Yes, 8765 is divisible by 73.
To verify divisibility by 73 for 8765, perform the following:
1) Multiply the last digit by 9, 5 × 9 = 45.
2) Subtract the result from the remaining digits, 876 - 45 = 831.
3) Check if 831 is a multiple of 73. Yes, 831 is a multiple of 73 (73 × 11 = 803, 73 × 12 = 876). Therefore, 8765 is divisible by 73.
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.