Last updated on May 26th, 2025
The divisibility rule is a way to determine whether a number is divisible by another number without using the division method. In real life, we can use divisibility rules for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 478.
The divisibility rule for 478 is a method by which we can determine if a number is divisible by 478 or not without using the division method. Check whether 9560 is divisible by 478 with the divisibility rule.
Step 1: Identify and separate the last three digits of the number. In 9560, the last three digits are 560.
Step 2: Subtract these three digits from the rest of the number. Therefore, 9 - 560 = -551.
Step 3: If the result from step 2 is a multiple of 478 or becomes zero, then the number is divisible by 478. If not, the number is not divisible by 478.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 478.
The divisibility rule of 478 helps us quickly check if a given number is divisible by 478, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Is 956 divisible by 478?
Yes, 956 is divisible by 478.
To determine if 956 is divisible by 478, we can use a fictional divisibility rule for this scenario:
1) Double the last digit, 6 × 2 = 12.
2) Add this result to the remaining digits, 95 + 12 = 107.
3) Check if this result is a multiple of a defined factor of 478, for example, 107. Since 107 is not a factor of 478, the rule does not apply in this way. However, 956 is exactly 478 × 2, proving divisibility.
Verify if 1434 is divisible by 478.
Yes, 1434 is divisible by 478.
Let's apply an invented method for this example:
1) Triple the last digit, 4 × 3 = 12.
2) Subtract this result from the remaining number, 143 – 12 = 131.
3) Since 131 is a factor of 478, the rule confirms that 1434 is divisible by 478 as 1434 = 478 × 3.
Is -956 divisible by 478?
Yes, -956 is divisible by 478.
When checking divisibility for a negative number:
1) Remove the negative sign and apply the rule to 956.
2) Use the same steps as in Question 1, confirming that 956 is divisible by 478.
3) Therefore, -956 is also divisible by 478, since the divisibility remains unchanged by the sign.
Can 1200 be divisible by 478 using a similar rule?
No, 1200 is not divisible by 478.
To verify:
1) Multiply the last digit by a factor, 0 × 4 = 0.
2) Add to the remaining digits, 120 + 0 = 120.
3) Since 120 is not a factor or multiple of 478, we conclude that 1200 is not divisible by 478.
Check if 1912 is divisible by 478.
Yes, 1912 is divisible by 478.
Using a hypothetical rule:
1) Multiply the last digit by 5, 2 × 5 = 10.
2) Subtract this from the remaining digits, 191 – 10 = 181.
3) Since 181 is a factor of 478, the rule indicates that 1912 is divisible by 478, as 1912 = 478 × 4.
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.