Divisibility Rules and Factors Worksheet

The rules for finding factors can also be stated as divisibility rules. Write the number to complete each divisibility rule. (1) Any even number is divisible by ______. (2) If the sum of the digits is divisible by 3, the number is divisible by ______. (3) If the number ends with 0 or 5, the number is divisible by ______. (4) If the number is divisible by both 2 and 3, the number is divisible by ______. (5) If the sum of the digits is divisible by 9, the number is divisible by ______. (6) If the number ends with 0, the number is divisible by ______. On the chart, place a check (✓) if the given number is divisible by 2, 3, 5, 6, 9, and/or 10. Then answer the question. (7) 80, (8) 81, (9) 372, (10) 510, (11) 2430, (12) 339, (13) 123, (14) 555. (15) Are your answers on the divisibility chart above the same as your answers on the factoring chart on page 16? ______ Why or why not? ______ (16) I am an odd number between 170 and 180, and I am divisible by 3 but not by 9. What number am I? ______

This question includes visual content: The image shows a page from a math workbook with three main sections. The top section lists six fill-in-the-blank questions regarding divisibility rules for numbers 2, 3, 5, 6, 9, and 10. Below this is a green grid chart used to check if the numbers 80, 81, 372, 510, 2430, 339, 123, and 555 are divisible by 2, 3, 5, 6, 9, or 10. There is a cartoon character next to the chart. The bottom section includes question (15) about comparing the current chart to one on a previous page, and question (16), which is a riddle about an odd number between 170 and 180.