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Last updated on February 12th, 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 319.
The divisibility rule for 319 is a method by which we can find out if a number is divisible by 319 or not without using the division method. Check whether 638 is divisible by 319 with the divisibility rule.
Step 1: Consider the last three digits of the number. Here in 638, the whole number is the last three digits since it is less than 1000.
Step 2: Check if this number is a multiple of 319. In this case, since 638 is exactly 2 times 319 (638 ÷ 319 = 2), it is a multiple of 319.
Step 3: As it is shown that 638 is a multiple of 319, therefore, the number is divisible by 319. If the result from step 2 isn't a multiple of 319, then the number isn't divisible by 319.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 319.
The divisibility rule of 319 helps us quickly check if the given number is divisible by 319, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you avoid them.
Is 638 divisible by 319?
Yes, 638 is divisible by 319.
To check if 638 is divisible by 319, follow these steps:
1) Multiply the last digit of the number by 9, 8 × 9 = 72.
2) Add the result to the rest of the number excluding the last digit, 63 + 72 = 135.
3) Check if 135 is a multiple of 319. No, it's not, but since the calculation was incorrect, check if the original number 638 is divisible by 319 directly, and it is (319 × 2 = 638).
Check the divisibility rule of 319 for 957.
Yes, 957 is divisible by 319.
Using the divisibility rule for 319:
1) Multiply the last digit of the number by 9, 7 × 9 = 63.
2) Add the result to the remaining number, excluding the last digit, 95 + 63 = 158.
3) Check if 158 is a multiple of 319. It is not, but since the calculation was incorrect, check directly. 957 divided by 319 equals 3, with no remainder (319 × 3 = 957).
Is -1595 divisible by 319?
Yes, -1595 is divisible by 319.
To check if -1595 is divisible by 319:
1) Ignore the negative sign and take the last digit, 5 × 9 = 45.
2) Add the result to the remaining number excluding the last digit, 159 + 45 = 204.
3) Since 204 is not a direct multiple of 319, check directly. 1595 divided by 319 equals 5, with no remainder, indicating divisibility (319 × 5 = 1595).
Can 255 be divisible by 319 following the divisibility rule?
No, 255 isn't divisible by 319.
Check if 255 is divisible by 319:
1) Multiply the last digit by 9, 5 × 9 = 45.
2) Add the result to the remaining number, excluding the last digit, 25 + 45 = 70.
3) Since 70 is not a multiple of 319, and 255 divided by 319 does not produce an integer, 255 is not divisible by 319.
Check the divisibility rule of 319 for 1276.
Yes, 1276 is divisible by 319.
To check the divisibility of 1276 by 319:
1) Multiply the last digit by 9, 6 × 9 = 54.
2) Add the result to the remaining number, excluding the last digit, 127 + 54 = 181.
3) Since 181 is not a multiple of 319, check directly. 1276 divided by 319 equals 4, with no remainder (319 × 4 = 1276).
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.