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 577.
The divisibility rule for 577 is a method by which we can find out if a number is divisible by 577 or not without using the division method. Check whether 346879 is divisible by 577 with the divisibility rule.
Step 1: Multiply the last digit of the number by 2, here in 346879, 9 is the last digit; multiply it by 2. 9 × 2 = 18.
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 34687 - 18 = 34669.
Step 3: Repeat the process until you get a smaller number that you can quickly check for divisibility by 577. Since the manual process for 577 is not straightforward, it is often advisable to use alternative methods, such as direct division for verification.
Learn divisibility rules to help master division. Let’s learn a few tips and tricks for the divisibility rule of 577.
The divisibility rule for 577 helps us to quickly check if a given number is divisible by 577, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will outline some common mistakes and how to avoid them.
Is 1731 divisible by 577?
Yes, 1731 is divisible by 577.
To check if 1731 is divisible by 577, we use the divisibility rule for 577.
1) Multiply the last three digits of the number by a factor related to 577's modular inverse, for example, 731 × 2 = 1462.
2) Subtract the result from the remaining digits of the number, 1 – 1462 = -1461.
3) Check if the result is a multiple of 577. Yes, -1461 (divided by 577) leaves no remainder.
Determine if 3462 is divisible by 577.
No, 3462 is not divisible by 577.
To check if 3462 is divisible by 577, follow these steps:
1) Multiply the last three digits, 462, by a factor based on 577's divisibility, 462 × 2 = 924.
2) Subtract this from the remaining digits, 3 – 924 = -921.
3) Check if -921 is a multiple of 577. No, it is not (as 921 divided by 577 leaves a remainder).
Is 2885 divisible by 577?
No, 2885 is not divisible by 577.
To check divisibility, use the following method:
1) Multiply the last three digits, 885, by a factor related to 577, 885 × 2 = 1770.
2) Subtract from the remaining digits, 2 – 1770 = -1768.
3) Verify if -1768 is divisible by 577. It is not (as -1768 divided by 577 leaves a remainder).
Can 1154 be divisible by 577 using the divisibility rule?
Yes, 1154 is divisible by 577.
Follow these steps to check:
1) Multiply the last three digits, 154, by a factor related to 577's divisibility, 154 × 2 = 308.
2) Subtract this from the remaining digits, 1 – 308 = -307.
3) Check if -307 is a multiple of 577. Yes, it is (as -307 divided by 577 leaves no remainder).
Is 692 divisible by 577?
No, 692 is not divisible by 577.
To determine divisibility, follow these steps:
1) Multiply the last three digits, 692, by a factor based on 577, 692 × 2 = 1384.
2) Subtract this from the remaining digits (which are zero in this case), 0 – 1384 = -1384.
3) Check if -1384 is a multiple of 577. No, it is not (as -1384 divided by 577 leaves a 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.