Divisibility Rule of 870

The divisibility rule for 870 is a method by which we can find out if a number is divisible by 870 or not without using the division method. Check whether 2610 is divisible by 870 with the divisibility rule.

Step 1: Check if the number is divisible by 10. The number 2610 ends in 0, so it is divisible by 10.

Step 2: Check if the number is divisible by 87. We need to check the divisibility by both 3 and 29 (since 87 = 3 × 29).

- For 3: Add the digits of the number and see if the sum is divisible by 3. 2+6+1+0 = 9, which is divisible by 3.

- For 29: Use the divisibility rule for 29 (usually involves specific calculations or direct division, but for simplicity, assume familiarity with divisibility by 29).

Step 3: Since 261 is divisible by 3 but not by 29, 2610 is not divisible by 870.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 870.

Know the multiples of 29:

Memorize the multiples of 29 (29, 58, 87, 116, 145, etc.) to quickly check divisibility. If the number is divisible by both 87 and 10, then it is divisible by 870.

Use direct division for large numbers: If the number is large, use direct division to check divisibility by 870.

Verify using smaller factors: Since 870 = 2 × 3 × 5 × 29, verify divisibility through these smaller factors.

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 rule: A set of rules used to find out whether a number is divisible by another number without direct division.
   
• Multiples: Results obtained by multiplying a number by an integer, such as multiples of 29.
   
• Factors: Numbers that divide another number exactly without leaving a remainder.
   
• Division: The process of determining how many times one number is contained within another.
   
• Remainder: The amount left after division when one number does not divide the other exactly.