Divisibility rules for 4 and 8

Learning Objectives State the divisibility rule for 4. State the divisibility rule for 8. Identify the last two digits of any number to test for divisibility by 4. Identify the last three digits of any number to test for divisibility by 8. Determine if a number up to 1,000 is divisible by 4 without performing long division. Determine if a number up to 1,000 is divisible by 8 without performing long division. Explain their reasoning using the correct divisibility rule. Have you ever wanted to share a big bag of 124 marbles equally among 4 friends without any leftovers? 🤔 Let's learn a magic trick to find out fast! Today, we are going to learn special shortcuts called divisibility rules. These rules help us quickly check if a number can be divided by 4 or 8 perfectly,...

TermDefinitionExample DivisibleA number is 'divisible' by another number if it can be divided evenly with a remainder of zero.12 is divisible by 4 because 12 ÷ 4 = 3 with no remainder. RemainderThe amount 'left over' after you divide. If the remainder is 0, the number is divisible.When you divide 13 by 4, you get 3 with a remainder of 1. So, 13 is not divisible by 4. DigitA single symbol used to make numbers. The digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.In the number 528, the digits are 5, 2, and 8. Divisibility RuleA shortcut or a special trick to see if a number can be divided by another number without actually doing the long division.A rule to check if a number is divisible by 2 is to see if it's an even number. Last Two DigitsThe digits in the tens place an...

Divisibility Rule for 4 A number is divisible by 4 if the number formed by its last two digits is divisible by 4. To check if a big number can be divided by 4, you only need to look at the last two digits. If that smaller number can be divided by 4, then the whole big number can be too! Divisibility Rule for 8 A number is divisible by 8 if the number formed by its last three digits is divisible by 8. This is like the rule for 4, but for bigger numbers. To check for 8, you look at the last three digits. If that number can be divided by 8, the whole number is divisible by 8.