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 693.
The divisibility rule for 693 is a method by which we can find out if a number is divisible by 693 or not without using the division method. Check whether 1386 is divisible by 693 using the divisibility rule.
Step 1: Break down 693 into its prime factors: 693 = 3 × 3 × 7 × 11.
Step 2: Check if the number is divisible by each of these factors.
To check divisibility by 3, ensure the sum of the digits is divisible by 3.
For 1386, 1 + 3 + 8 + 6 = 18, which is divisible by 3.
To check divisibility by 7, follow the specific rule for 7 (as described earlier).
For 1386, double the last digit (6): 6 × 2 = 12. Subtract from the remaining number: 138 - 12 = 126. Since 126 is divisible by 7, 1386 passes this test.
To check divisibility by 11, see if the difference between the sum of the digits in odd positions and the sum of the digits in even positions is a multiple of 11.
For 1386, (1 + 8) - (3 + 6) = 9 - 9 = 0, which is a multiple of 11.
Since 1386 is divisible by 3, 7, and 11, it is divisible by 693.
The divisibility rule of 693 involves checking divisibility by multiple factors, which can lead to common mistakes. Here we will understand some common mistakes and how to avoid them.
Is 2079 divisible by 693?
Yes, 2079 is divisible by 693.
To determine if 2079 is divisible by 693, follow these steps:
1) Divide 2079 by 693.
2) The result is exactly 3, with no remainder, indicating that 2079 is divisible by 693.
Check the divisibility rule of 693 for 1386.
Yes, 1386 is divisible by 693.
To verify if 1386 is divisible by 693:
1) Divide 1386 by 693.
2) The quotient is 2, with zero remainder, confirming that 1386 is divisible by 693.
Is -693 divisible by 693?
Yes, -693 is divisible by 693.
To check the divisibility of -693 by 693:
1) Remove the negative sign and divide 693 by 693.
2) The result is 1, with no remainder, so -693 is divisible by 693.
Can 500 be divisible by 693 following the divisibility rule?
No, 500 isn't divisible by 693.
To determine if 500 is divisible by 693:
1) Divide 500 by 693.
2) The result is a fraction, indicating that 500 is not divisible by 693.
Check the divisibility rule of 693 for 3465.
Yes, 3465 is divisible by 693.
To check if 3465 is divisible by 693:
1) Divide 3465 by 693.
2) The result is 5, with no remainder, confirming that 3465 is divisible by 693.
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.