Divisibility Rule of 974

The divisibility rule for 974 is a method by which we can find out if a number is divisible by 974 or not without using the division method. Check whether 1948 is divisible by 974 with the divisibility rule.

Step 1: Break down 974 into its prime factors, which are 2, 487. Check the divisibility of the number by these prime factors. 

Step 2: First, check if the number is divisible by 2. Since the last digit of 1948 is 8, which is even, 1948 is divisible by 2. Divide 1948 by 2 to get 974.

Step 3: Now check if 974 is divisible by 487. Since 974 is exactly 487 multiplied by 2, 974 is divisible by 487. 

Step 4: Since 1948 is divisible by 2 and 974 is divisible by 487, 1948 is divisible by 974.  

Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 974.  

Know the factors of 974:

Memorize the factors of 974, which are 2 and 487, to quickly check the divisibility of a number.

Use the division process:

Divide the number by the prime factors of 974 to verify divisibility. If the number is divisible by both 2 and 487, then it is divisible by 974.  

Repeat the process for large numbers:

Students should keep repeating the divisibility process until they reach a small number that is divisible by 974.  

Use the division method to verify:

Students can use the division method as a way to verify and cross-check their results. This will help them to verify and also learn.  

• Divisibility: The condition in which one number can be divided by another without leaving a remainder.  

• Prime Factors: The prime numbers that multiply together to yield the original number, such as 2 and 487 for 974.  

• Even Number: A number that is divisible by 2.  

• Factorization: The process of breaking down a number into its constituent factors.  

• Verification: The process of confirming the correctness of a result using an alternative method, such as division.