# Factorial Question and Answer Set 1

Hi students, welcome to **Amans Maths Blogs (AMB)**. On this post, you will get the **Factorial Question and Answer Set 1**. It will help you to practice the questions on the topics of maths as Remainder Theorem.

**Factorial Question and Answer: Ques No 1**

Given N is a positive integer less than 31, how many values can n take if (n + 1) is a factor of n!?

**Options:**

A. 18

B. 16

C. 12

D. 20

**Answer: A**

**Factorial Question and Answer: Ques No 2**

Find the highest power of 13 in 200!

**Options:**

A. 18

B. 16

C. 12

D. 13

**Answer: B**

**Factorial Question and Answer: Ques No 3**

How many trailing zeroes (zeroes at the end of the number) does 60! have?

**Options:**

A. 18

B. 14

C. 12

D. 13

**Answer: B**

**Factorial Question and Answer: Ques No 4**

The number of positive integers which divide (2^{5})! are

**Options:**

A. 2^{13}.3^{3}.5^{2}

B. 2^{8}.3^{2}.5^{2}

C. 2^{11}.3^{2}.5

D. 2^{8}.3^{3}.5^{3}

**Answer: A**

**Factorial Question and Answer: Ques No 5**

Let K be the largest number with exactly 3 factors that divide 25! How many factors does (k – 1) have?

**Options:**

A. 16

B. 12

C. 9

D. 14

**Answer: A**