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Divisibility Rules Name Period # Vocabulary Review and Divisibility Patterns Term The Set of Whole Numbers Definition The whole numbers are the set of counting numbers and zero. Example What is the set of whole numbers less than 6? {0, 1, 2, 3, …} Divisible Factor A given number is divisible by a second 10 is divisible by 2 number, if the second number divides the because 10 2 = 5 given number with no remainder. with no remainder. A whole number that can be multiplied by another whole number to produce or yield a given product is called a factor of that given product. What are the factors of 15? One number is a factor of a given number if it divides the given number with no remainder. Multiple A multiple of a given number is the product of the given whole number and any other whole number. What are the first 4 multiples of 25? What are the first 5 nonzero multiples of 12? Divisibility Rules: You must also MEMORIZE and BE ABLE TO APPLY the following: A number is divisible by… if… 2 the ones place is 0, 2, 4, 6, or 8. (even) 3 the _______ of the digits is divisible by 3. 4 the number formed by the last _________ _______________ is divisible by 4. 5 the digit in the ones place is a ________or a _________. 6 the number must pass the test for both ______ and _______. 9 the __________ of the digits in the given number is divisible by 9. 10 the digit in the ______ place is a ______. 100 the digits in BOTH the ones and tens places are ____________. Example Divisibility Homework Worksheet Name Period # Check the box if the given number is divisible by the number at the top of the column. If the given number is NOT divisible by the number at the top of the column, leave that box blank. Show your work to get the sum of all digits in the given number in the box labeled work space. This work will help you with knowing when the given number is divisible by a few numbers listed at the top of the columns. Directions: # Given Number #1 100 #2 55 #3 63 #4 2,184 #5 1,000,820 #6 246 #7 1,012 #8 84 #9 270,000 #10 738 #11 101 Work Space (sum of the digits) 2 3 4 5 6 9 10 100 1,000 # Given Number #12 59 #13 50,319 #14 462 #15 920 #16 75,396 Work Space (sum of the digits) 2 3 4 5 6 9 10 100 1,000 Directions: Complete the chart below: by listing all factors of each given number and the first 5 multiples of each given number. # Given Number #17 14 #18 100 #19 18 #20 22 #21 8 All Factors First 5 Multiples