CT 5: Multiple & Factor – I

1.324! Find the number of trailing zeros in?

2. What is the total number of factors of the number 840 except 1 and the number itself?

3. How many number of zeroes are there in the product of numbers 25, 34, 22, 15 and 30?

4. The sum of all the factors of 96 is

5. Consider the following statements in respect of all factors of 360 :

1. The number of factors is 24.

2. The sum of all factors is 1170.

Which of the above statements is/are correct ?

6. The number of factors of 196 which are divisible by 4 is:

7. Let n! = 1 × 2 × 3 ×...× n for integer n > 1. If p = 1! + (2 × 2!) + (3 × 3 !) + ... + (10 × 10!), then p + 2 when divided by 11! leaves a remainder of

8. Consider the following statements :

1. (ab + bc + ca) is a factor of a² (b - c)³ + b² (c - a)³ + c² (a - b)³.

2. (a + b + c) is a factor of a² (b - c)³ + b² (c - a)³ + c² (a - b)³.

Which of the statements given above is/are correct?

9. The number of prime factors in 12¹²³ × 15²²² × 18¹¹¹

10. Factorize the given algebraic expression.

x³ + 27y³ + 64z³ - 36xyz