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Factors and Multiples

Math ⇒ Number and Operations

Factors and Multiples starts at 6 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Factors and Multiples. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.
See sample questions for grade 10
Explain the difference between a factor and a multiple.
Explain why 0 is not considered a factor of any number.
Explain why every number is a factor of itself.
Find the highest common factor (HCF) of 56 and 98.
Find the LCM of 18, 24, and 30.
Find the least common multiple (LCM) of 8 and 12.
Find the sum of all factors of 12.
Given the set of numbers {24, 36, 54, 72}, which number has the greatest number of positive factors?
If a number is a multiple of both 4 and 6, which of the following must it also be a multiple of? (1) 8 (2) 12 (3) 18 (4) 24
Which of the following is a common multiple of 4 and 6? (1) 8 (2) 12 (3) 16 (4) 18
Which of the following is a factor of both 24 and 36? (1) 4 (2) 5 (3) 7 (4) 9
Which of the following is NOT a multiple of 15? (1) 30 (2) 45 (3) 55 (4) 75
Fill in the blank: The greatest common factor (GCF) of 36 and 60 is _______.
Fill in the blank: The number 13 has exactly _______ positive factors.
Fill in the blank: The product of the HCF and LCM of two numbers is equal to the _______ of the numbers.
Fill in the blank: The smallest positive multiple of 9 is _______.
A number is divisible by both 2 and 3. Is it always divisible by 6?
A number leaves a remainder of 0 when divided by 8. Is 8 a factor of this number?
Is 1 a factor of every integer? (Yes/No)
State whether the following statement is true or false: Every multiple of 6 is also a multiple of 2.