Factors Test

Number of questions:10

Q.1 Number N = 26 * 55 * 76 * 107 how many factors of N are even numbers?



Q.2 Numbers A, B, C and D have 16, 28, 30 and 27 factors. Which of these could be a perfect cube?



Q.3 If a three digit number ‘abc’ has 3 factors, how many factors does the 6-digit number ‘abcabc’ have?



Q.4 How many numbers are there less than 100 that cannot be written as a multiple of a perfect square greater than 1?



Q.5 Find the smallest number that has exactly 18 factors.



Q.6 A number N2, has 15 factors. How many factors can N have?



Q.7 If a three digit number ‘abc’ has 2 factors (where a, b, c are digits), how many factors does the 6-digit number ‘abcabc’ have?



Q.8 What is the smallest number that has exactly 12 factors?



Q.9 Placing which of the following two digits at the right end of 4530 makes the resultant six digit number divisible by 6,7 and 9?



Q.10 The sum of the factors of a number is 124. What is the number?




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