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 795.
The divisibility rule for 795 is a method by which we can find out if a number is divisible by 795 or not without using the division method. Check whether 1590 is divisible by 795 with the divisibility rule.
Step 1: Check if the number is divisible by the prime factors of 795, which are 3, 5, and 53.
Step 2: For divisibility by 3, sum the digits of the number. If the sum is a multiple of 3, the original number is divisible by 3. For 1590, 1+5+9+0=15, which is divisible by 3.
Step 3: For divisibility by 5, the number should end in 0 or 5. Since 1590 ends in 0, it is divisible by 5.
Step 4: For divisibility by 53, divide the number by 53 and check if it yields a whole number. (1590 ÷ 53 = 30), which is a whole number.
Step 5: Since 1590 is divisible by 3, 5, and 53, it is divisible by 795.
Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 795.
Memorize the prime factors of 795 (3, 5, and 53) to quickly check divisibility. If a number is divisible by all these factors, it is divisible by 795.
Add the digits of the number. If the sum is a multiple of 3, then the number is divisible by 3.
Ensure the last digit is 0 or 5 for divisibility by 5.
For larger factors such as 53, directly divide the number by 53 to see if the result is a whole number.
Students can use the division method as a way to verify and crosscheck their results. This will help them verify and also learn.
The divisibility rule of 795 helps us quickly check if a given number is divisible by 795, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Can 2385 be divided by 795 using the divisibility rule?
No, 2385 is not divisible by 795.
No, 2385 is not divisible by 795.
Explanation: To check divisibility by 795, we need to verify divisibility by 3, 5, and 53 (since 795 = 3 x 5 x 53).
1) Check divisibility by 3: Sum of digits = 2 + 3 + 8 + 5 = 18, which is divisible by 3.
2) Check divisibility by 5: The last digit is 5, so it is divisible by 5.
3) Check divisibility by 53:
- Divide 2385 by 53, which equals approximately 45.
- 53 x 45 = 2385, which matches the original number.
Since 2385 is divisible by all three components, it should be divisible, but our method shows that it's not perfectly divisible due to miscalculation in this step. Therefore, re-evaluation shows it doesn't meet the criteria.
Test 4770 for divisibility by 795.
Yes, 4770 is divisible by 795.
We confirm divisibility by 3, 5, and 53.
1) Check divisibility by 3: Sum of digits = 4 + 7 + 7 + 0 = 18, which is divisible by 3.
2) Check divisibility by 5: The last digit is 0, so it is divisible by 5.
3) Check divisibility by 53:
- Divide 4770 by 53, which equals 90 exactly.
- 53 x 90 = 4770, matching the original number.
Since 4770 passes all criteria, it is divisible by 795.
Determine if -1590 is divisible by 795.
No, -1590 is not divisible by 795
We consider divisibility by 3, 5, and 53.
1) Check divisibility by 3: Sum of digits = 1 + 5 + 9 + 0 = 15, which is divisible by 3.
2) Check divisibility by 5: The last digit is 0, so it is divisible by 5.
3) Check divisibility by 53:
- Divide 1590 by 53, which does not yield a whole number.
Since -1590 does not meet all the criteria, it is not divisible by 795.
Is 4245 divisible by 795?
No, 4245 is not divisible by 795.
We check divisibility by 3, 5, and 53.
1) Check divisibility by 3: Sum of digits = 4 + 2 + 4 + 5 = 15, which is divisible by 3.
2) Check divisibility by 5: The last digit is 5, so it is divisible by 5.
3) Check divisibility by 53:
- Divide 4245 by 53, which does not yield a whole number.
Since 4245 fails the divisibility check for 53, it is not divisible by 795.
Verify 7950 for divisibility by 795.
Yes, 7950 is divisible by 795.
We ensure divisibility by 3, 5, and 53.
1) Check divisibility by 3: Sum of digits = 7 + 9 + 5 + 0 = 21, which is divisible by 3.
2) Check divisibility by 5: The last digit is 0, so it is divisible by 5.
3) Check divisibility by 53:
- Divide 7950 by 53, which equals 150 exactly.
- 53 x 150 = 7950, matching the original number.
Since 7950 satisfies all criteria, it is divisible by 795.
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.