alleryStart learning →The number 36 can be written as 2 x 2 x 3 x 3. How many divisors does 36 have?
- 6
- 8
- 12
- 9
Show answer and solution
Correct answer: D. 9
The divisors are 1, 2, 3, 4, 6, 9, 12, 18 and 36, which is nine in all.
Olympiad (Class 7) Factors and Multiples — practice questions — page 2
Explore 50 free Factors and Multiples questions in Olympiad (Class 7) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
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Showing questions 31–50 of 50.
The number 36 can be written as 2 x 2 x 3 x 3. How many divisors does 36 have?Read the answer and worked solution →Which of these numbers has exactly three divisors?Read the answer and worked solution →9 and 28 are coprime numbers. What is their LCM?Read the answer and worked solution →A 3-digit number is made from digits 2, 5 and 8, each used once. Which divisor always works?Read the answer and worked solution →In 53*0 a digit * is missing. Which value makes the number a multiple of 6?Read the answer and worked solution →A student writes 8*3 and wants a multiple of 11. Which digit must * be?Read the answer and worked solution →A number is a multiple of 4 and also of 5. Which divisor is guaranteed here?Read the answer and worked solution →Every number that 4 and 6 both divide is also a multiple of which of these?Read the answer and worked solution →How many multiples of 7 lie between 1 and 50 inclusive?Read the answer and worked solution →Multiplying 72 by which smallest number gives a perfect square?Read the answer and worked solution →The product of any three consecutive whole numbers is always divisible by which of these?Read the answer and worked solution →36 students must stand in rows with an equal number in every row and none left out. Which row length is NOT possible?Read the answer and worked solution →Find the highest common factor of 18, 24 and 30.Read the answer and worked solution →Find the smallest number into which 4, 6 and 10 all divide.Read the answer and worked solution →Two numbers in the ratio 3 : 4 have HCF 5. Find the LCM.Read the answer and worked solution →The product of two numbers is 1,800 and their HCF is 6. What is their LCM?Read the answer and worked solution →Among 2-digit numbers that both 3 and 8 divide, which is the greatest?Read the answer and worked solution →How many multiples of 9 are there from 1 to 100?Read the answer and worked solution →What least number must be added to 2,345 to make a multiple of 9?Read the answer and worked solution →48 mangoes and 72 apples go into identical baskets, none left over. What is the most baskets?Read the answer and worked solution →
Worked practice questions
Which of these numbers has exactly three divisors?
- 36
- 49
- 51
- 64
Show answer and solution
Correct answer: B. 49
49 has divisors 1, 7 and 49 only. The number 36 has nine divisors, 51 has four and 64 has seven.
9 and 28 are coprime numbers. What is their LCM?
- 36
- 126
- 252
- 37
Show answer and solution
Correct answer: C. 252
For coprime numbers the HCF is 1, so the LCM equals the product 9 x 28 = 252.
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