Divisibility Rule of 845

The divisibility rule for 845 is a method by which we can determine if a number is divisible by 845 without actual division. Let's check whether 1690 is divisible by 845 using the divisibility rule.

Step 1: Check divisibility by 5. Since the last digit of 1690 is 0, 1690 is divisible by 5.

Step 2: Check divisibility by 169 (the result of 845 divided by 5). Divide 1690 by 169 to see if the result is an integer. 1690 ÷ 169 = 10, which is an integer.

Step 3: Since 1690 is divisible by both 5 and 169, it is divisible by 845.

Understanding the divisibility rule will help students master division. Let’s learn a few tips and tricks for the divisibility rule of 845.

Know the factors of 845:

Memorize the factors of 845, which are 5 and 169, to check divisibility quickly.

Use prime factorization:

Recognize that 845 = 5 × 169. Checking divisibility by each factor separately can simplify the process.

Repeat the process for large numbers:

For large numbers, break them down into smaller parts using divisibility rules of 5 and 169.

Use the division method to verify:

Always use the division method to verify and cross-check your results. This will help confirm your calculations.

• Divisibility Rule: A set of guidelines used to determine whether a number is divisible by another number without performing division.

• Factors: Numbers that multiply together to form another number. For example, factors of 845 are 5 and 169.

• Prime Factorization: Breaking down a number into its prime factors, e.g., 845 = 5 × 169.

• Integer: Whole numbers that can be positive, negative, or zero.

• Verification: The process of confirming a result through alternative methods, such as actual division.