Divisibility Rule of 977

The divisibility rule for 977 is a method by which we can determine if a number is divisible by 977 without using the division method. Check whether 1954 is divisible by 977 with the divisibility rule.

Step 1: Since 977 is a large number, there is no simple shortcut like with smaller primes. The best method is to directly check divisibility using division or a calculator.

Step 2: Division of 1954 by 977 gives a quotient that is not an integer (1954 ÷ 977 ≈ 2.000), indicating 1954 is not divisible by 977.

Learn the divisibility rule to master division. Let’s learn a few tips and tricks for the divisibility rule of 977.

Know the multiples of 977:

Memorize the first few multiples of 977 (977, 1954, 2931, etc.) to quickly check divisibility. If your number matches one of these multiples, it's divisible by 977.

Use a calculator:

Given the size of 977, using a calculator or performing long division is often the most efficient method to check divisibility.

Repeat the process for larger numbers:

For very large numbers, first check with known multiples of 977 and then use division for confirmation.

Use the division method to verify:

Always verify divisibility by performing the division to confirm your result.

• Divisibility: The ability for one number to be divided by another number without any remainder.

• Multiples: Results obtained by multiplying a number by integers. For example, multiples of 977 are 977, 1954, 2931, etc.

• Integers: Whole numbers that include positive numbers, negative numbers, and zero.

• Division: The process of determining how many times one number is contained within another.

• Remainder: The amount left over after division when a number does not divide evenly.