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8 Math: 1.1Factors & Divsors
Factors & Divsors
Question 1. Which of the following numbers are prime?
(a) 1 (b) 0 (c) 2
(d) 87 (e) 21 (f) 15
Question 2. Which of the following numbers are divisible by 2?
(a) 122 (b) 222221 (c) 245916
Question 3. Use the rule of 3 to check if the following numbers are divisible by 3.
(a) 123 (b) 981 (c) 111221
Copyright c©by MGL Institute of Higher Learning Inc. 1
8 Math: 1.1Factors & Divsors
Question 4. Use the rule of 6 to check if the following numbers are divisible by 6.
(a) 222 (b) 33912 (c) 616666
Question 5. Use the rule of 7 to check if the following numbers are divisible by 7.
(a) 182 (b) 217 (c) 838
Question 6. Use the rule of 11 to check if the following numbers are divisible by 11.
(a) 682 (b) 297 (c) 2156
Question 7. Prime factorize the following numbers.
(a) 125 (b) 360 (c) 220
Copyright c©by MGL Institute of Higher Learning Inc. 2
8 Math: 1.1Factors & Divsors
Question 8. Prime factorize the following numbers. You might want to use the divisibility rules forbelow.
(a) 7957 (b) 6139
Question 9. Rearrange the dots( there are 3× 6 = 18 dots in total) so that it forms a rectangle that isdifferent from the current one. How many different rectangles can you make?
• • • • • •• • • • • •• • • • • •
Question 10. Rearrange the dots( there are 5× 4 = 20 dots in total) so that it forms a rectangle that isdifferent from the current one. How many different rectangles can you make?
• • • •• • • •• • • •• • • •• • • •
Copyright c©by MGL Institute of Higher Learning Inc. 3
8 Math: 1.1Factors & Divsors
Question 11. The following numbers all contain factors of 6. Show each number as a product of 6 andone other number.
(a) 54 (b) 132 (c) 72
(d) 10× 21 (e) 24× 25 (f) 64× 45
Question 12. Find the answer. Do you notice any pattern?
(a) (11× 8)÷ 11 (b) (7× 6)÷ 6 (c) (9× 11)÷ 11
Question 13. List all the factors for the following numbers using the method discussed in class.
(a) 125 (b) 126 (c) 212
Question 14. Is it true that sum of any consecutive natural number is divisible by 2? Consecutive numbersare numbers which are beside each other on the number line. For example, {1, 2}, {3, 4},{7, 8}, {11, 12} are all consecutive numbers.
Copyright c©by MGL Institute of Higher Learning Inc. 4