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 159.
The divisibility rule for 159 is a method by which we can find out if a number is divisible by 159 or not without using the division method. Check whether 4773 is divisible by 159 with the divisibility rule.
Step 1: Multiply the last digit of the number by 9, here in 4773, 3 is the last digit, multiply it by 9. 3 × 9 = 27.
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 477–27 = 450.
Step 3: If the result from Step 2 is a multiple of 159, then the number is divisible by 159. If the result isn't a multiple of 159, then the number isn't divisible by 159. Since 450 is not a multiple of 159, 4773 is not divisible by 159.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 159.
The divisibility rule of 159 helps us to quickly check if a given number is divisible by 159, but common mistakes like calculation errors can lead to incorrect conclusions. Here are some common mistakes and how to avoid them.
Is the year 3180 divisible by 159?
Yes, 3180 is divisible by 159.
To check divisibility by 159, we can use the following approach:
1) Multiply the last digit by 9, 0 × 9 = 0.
2) Subtract the result from the remaining digits, excluding the last digit, 318 - 0 = 318.
3) Repeat the process for 318: 8 × 9 = 72, 31 - 72 = -41.
4) Add the results of the second step to the absolute value of the third step, 318 + 41 = 359.
5) Check if 359 is divisible by 159. Since 359 is not divisible by 159, we need to continue the process until the result becomes zero or a known multiple of 159.
Check if the number 4773 is divisible by 159.
No, 4773 is not divisible by 159.
To assess divisibility by 159:
1) Multiply the last digit by 9, 3 × 9 = 27.
2) Subtract this from the remaining digits, 477 - 27 = 450.
3) Check 450 for divisibility by 159 by repeating the process: 0 × 9 = 0, 45 - 0 = 45.
4) Since 45 is not a multiple of 159, 4773 is not divisible by 159.
Is -6369 divisible by 159?
Yes, -6369 is divisible by 159.
Remove the negative sign and check divisibility for 6369:
1) Multiply the last digit by 9, 9 × 9 = 81.
2) Subtract the result from the remaining digits, 636 - 81 = 555.
3) Check 555: 5 × 9 = 45, 55 - 45 = 10.
4) Since 10 is not a multiple of 159, continue until you reach a known multiple or zero.
5) As it turns out, 6369 is divisible by 159 (159 × 40 = 6360).
Can 5005 be divisible by 159 following the divisibility rule?
No, 5005 is not divisible by 159.
Check using the steps:
1) Multiply the last digit by 9, 5 × 9 = 45.
2) Subtract from the remaining digits, 500 - 45 = 455.
3) Check 455: 5 × 9 = 45, 45 - 45 = 0.
4) Since 0 is a multiple of 159, this means our calculations have shown an error in initial subtraction, but since 455 is not a multiple of 159, 5005 is not divisible by 159.
Verify if the number 7959 follows the divisibility rule of 159.
Yes, 7959 is divisible by 159.
To verify:
1) Multiply the last digit by 9, 9 × 9 = 81.
2) Subtract from the remaining digits, 795 - 81 = 714.
3) Check 714: 4 × 9 = 36, 71 - 36 = 35.
4) Since 35 is not a multiple of 159, continue until you reach a known multiple or zero.
5) 714 itself is a known multiple of 159 (159 × 5 = 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.