Divisibility rules

Learning Objectives Identify numbers divisible by 2, 5, and 10 using their respective rules. Apply the divisibility rules for 3 and 9 to determine if a number is divisible by them. Determine if a number is divisible by 4 and 6 using their specific rules. Explain the concept of divisibility and its relationship to factors and multiples. Solve problems involving divisibility rules to simplify calculations and check for exact division. Recognize when a number is not divisible by a given number based on the rules. Ever wondered how to quickly tell if a large number can be divided evenly without doing long division? 🤔 In this lesson, you'll discover clever shortcuts called divisibility rules. These rules help you quickly check if one number can be divided by another withou...

TermDefinitionExample DivisibleA number is divisible by another number if, when you divide them, the remainder is zero. It means one number goes into the other an exact number of times.12 is divisible by 3 because 12 ÷ 3 = 4 with no remainder. RemainderThe amount left over after performing a division operation when one number does not divide another exactly.When 13 is divided by 3, the quotient is 4 and the remainder is 1. FactorA number that divides another number exactly, leaving no remainder. If a number is divisible by another, then the divisor is a factor.Since 10 is divisible by 2, 2 is a factor of 10. Also, 5 is a factor of 10. MultipleA number that can be divided exactly by another number. It's the result of multiplying a number by an integer.15 is a multiple of 3 because 15...

Divisibility Rule for 2 A number is divisible by 2 if its last digit is an even number (0, 2, 4, 6, or 8). This rule helps you quickly identify even numbers. Just look at the very last digit of the number. Divisibility Rule for 3 A number is divisible by 3 if the sum of its digits is divisible by 3. Add up all the digits in the number. If that sum can be divided by 3 with no remainder, then the original number is also divisible by 3. Divisibility Rule for 5 A number is divisible by 5 if its last digit is either 0 or 5. This is a very straightforward rule. Simply check if the number ends in a 0 or a 5. Divisibility Rule for 10 A number is divisible by 10 if its last digit is 0. Similar to the rule for 5, this rule only requires you to check the last digit. If...