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 578.
The divisibility rule for 578 is a method by which we can determine if a number is divisible by 578 without using the division method. Let's check whether 1156 is divisible by 578 using the divisibility rule.
Step 1: Multiply the last digit of the number by 2. Here in 1156, 6 is the last digit, so multiply it by 2. 6 × 2 = 12.
Step 2: Subtract the result from Step 1 with the remaining values, but do not include the last digit, i.e., 115–12 = 103.
Step 3: As it is shown that 103 is not a multiple of 578, the number 1156 is not divisible by 578. If the result from Step 2 were a multiple of 578, then the number would be divisible by 578.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 578.
The divisibility rule of 578 helps us to quickly check if a given number is divisible by 578, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Is 1734 divisible by 578?
Yes, 1734 is divisible by 578.
To check 1734 for divisibility by 578, we can follow these steps:
1) Divide 1734 by 578 directly.
2) The division gives a quotient of 3 with no remainder.
3) Therefore, 1734 is divisible by 578.
Check the divisibility rule of 578 for 2890.
No, 2890 is not divisible by 578.
To verify the divisibility of 2890 by 578, follow these steps:
1) Divide 2890 by 578.
2) The division results in a quotient of 5 with a remainder.
3) Therefore, 2890 is not divisible by 578.
Is 0 divisible by 578?
Yes, 0 is divisible by 578.
Any number, including 0, is divisible by any non-zero number.
1) Divide 0 by 578, which results in 0.
2) The quotient is 0 with no remainder.
3) Therefore, 0 is divisible by 578.
Can 462 be divisible by 578 following the divisibility rule?
No, 462 is not divisible by 578.
To check if 462 is divisible by 578:
1) Since 462 is less than 578, it cannot be divided without a remainder.
2) Therefore, 462 is not divisible by 578.
Check the divisibility rule of 578 for -1156.
Yes, -1156 is divisible by 578.
To verify divisibility of -1156 by 578:
1) Remove the negative sign and divide 1156 by 578.
2) The division results in a quotient of 2 with no remainder.
3) Therefore, -1156 is divisible by 578.