*This Math quiz is called 'Calculations - Factorials - Introduction' and it has been written by teachers to help you if you are studying the subject at middle school. Playing educational quizzes is a fabulous way to learn if you are in the 6th, 7th or 8th grade - aged 11 to 14.*

* It costs only $12.50 per month to play this quiz and over 3,500 others that help you with your school work. You can subscribe on the page at Join Us*

Ah yes, here we are being hit with yet another new math vocabulary word - **factorials**. You’ll probably be very happy to learn that factorials are really very easy and even fun. Later on as you progress in your math classes such as in trigonometry or calculus, or even physics, you will learn how to use factorials in several different formulas. However, for this quiz, we are just going to get comfortable with understanding the very basics of factorials.

1.

11! ÷ 5! = ?

332,640

332,620

332,600

332,580

2.

8! = ?

35,320

40,320

40,040

404,020

Working the problem we have

1 x 2 x 3 x 4 x 5 x 6 x 7 x 8

1 x 2 = 2

2 x 3 = 6

6 x 4 = 24

24 x 5 = 120

120 x 6 = 720

720 x 7 = 5,040

5,040 x 8 = 40,320

__Solution__: 8! = 40,320

Answer (b) is the correct answer

1 x 2 x 3 x 4 x 5 x 6 x 7 x 8

1 x 2 = 2

2 x 3 = 6

6 x 4 = 24

24 x 5 = 120

120 x 6 = 720

720 x 7 = 5,040

5,040 x 8 = 40,320

Answer (b) is the correct answer

3.

5! = ?

120

125

130

135

Working the problem we have

1 x 2 x 3 x 4 x 5

1 x 2 = 2

2 x 3 = 6

6 x 4 = 24

24 x 5 = 120

__Solution__: 5! = 120

Answer (a) is the correct answer

1 x 2 x 3 x 4 x 5

1 x 2 = 2

2 x 3 = 6

6 x 4 = 24

24 x 5 = 120

Answer (a) is the correct answer

4.

4! + 9! = ?

5,660,910

362,904

362,928

566,091

Working the problem we have

1 x 2 x 3 x 4

1 x 2 = 2

2 x 3 = 6

6 x 4 = 24

- and then -

1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9

1 x 2 = 2

2 x 3 = 6

6 x 4 = 24

24 x 5 = 120

120 x 6 = 720

720 x 7 = 5,040

5,040 x 8 = 40,320

40,320 x 9 = 362,880

__Solution__: 4! + 9! = 24 + 362,880 = 362,904

4! + 9! = 362,904

Answer (b) is the correct answer

1 x 2 x 3 x 4

1 x 2 = 2

2 x 3 = 6

6 x 4 = 24

- and then -

1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9

1 x 2 = 2

2 x 3 = 6

6 x 4 = 24

24 x 5 = 120

120 x 6 = 720

720 x 7 = 5,040

5,040 x 8 = 40,320

40,320 x 9 = 362,880

4! + 9! = 362,904

Answer (b) is the correct answer

5.

6! x 2! = ?

1,442

722

732

1,440

Working the problem we have

1 x 2 = 2

2 x 3 = 6

6 x 4 = 24

24 x 5 = 120

120 x 6 = 720

- and then -

1 x 2

1 x 2 = 2

__Solution__: 6! x 2! = 720 x 2 = 1,440

6! x 2! = 1,440

Answer (d) is the correct answer

1 x 2 = 2

2 x 3 = 6

6 x 4 = 24

24 x 5 = 120

120 x 6 = 720

- and then -

1 x 2

1 x 2 = 2

6! x 2! = 1,440

Answer (d) is the correct answer

6.

10! = ?

3,428,800

342,880

3,628,800

362,880

Working the problem we have

1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10

1 x 2 = 2

2 x 3 = 6

6 x 4 = 24

24 x 5 = 120

120 x 6 = 720

720 x 7 = 5,040

5,040 x 8 = 40,320

40,320 x 9 = 362,880

362,880 x 10 = 3,628,800

__Solution__: 10! = 3,628,800

Answer (c) is the correct answer

1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10

1 x 2 = 2

2 x 3 = 6

6 x 4 = 24

24 x 5 = 120

120 x 6 = 720

720 x 7 = 5,040

5,040 x 8 = 40,320

40,320 x 9 = 362,880

362,880 x 10 = 3,628,800

Answer (c) is the correct answer

7.

3! = ?

8

4

12

6

Working the problem we have

1 x 2 x 3

1 x 2 = 2

2 x 3 = 6

__Solution__: 3! = 6

Answer (d) is the correct answer

1 x 2 x 3

1 x 2 = 2

2 x 3 = 6

Answer (d) is the correct answer

8.

8! ÷ 4! x 2! = ?

3,160

3,260

3,360

3,460

Working the problem we have

1 x 2 x 3 x 4 x 5 x 6 x 7 x 8

1 x 2 = 2

2 x 3 = 6

6 x 4 = 24

24 x 5 = 120

120 x 6 = 720

720 x 7 = 5,040

5,040 x 8 = 40,320

- and then -

1 x 2 x 3 x 4

1 x 2 = 2

2 x 3 = 6

6 x 4 = 24

- and then

1 x 2 = 2

__Solution__: 8! ÷ 4! x 2!= 40,320 ÷ 24 = 1,680 x 2 = 3,360

8! ÷ 4! x 2!= 3,360

Answer (c) is the correct answer

1 x 2 x 3 x 4 x 5 x 6 x 7 x 8

1 x 2 = 2

2 x 3 = 6

6 x 4 = 24

24 x 5 = 120

120 x 6 = 720

720 x 7 = 5,040

5,040 x 8 = 40,320

- and then -

1 x 2 x 3 x 4

1 x 2 = 2

2 x 3 = 6

6 x 4 = 24

- and then

1 x 2 = 2

8! ÷ 4! x 2!= 3,360

Answer (c) is the correct answer

9.

7! - 6! = ?

3,420

4,320

2,430

4,540

Working the problem we have

1 x 2 x 3 x 4 x 5 x 6 x 7

1 x 2 = 2

2 x 3 = 6

6 x 4 = 24

24 x 5 = 120

120 x 6 = 720

720 x 7 = 5,040

- and then -

1 x 2 x 3 x 4 x 5 x 6

1 x 2 = 2

2 x 3 = 6

6 x 4 = 24

24 x 5 = 120

120 x 6 = 720

__Solution__: 7! - 6! = 5,040 - 720 = 4,320

7! - 6! = 4,320

Answer (b) is the correct answer

1 x 2 x 3 x 4 x 5 x 6 x 7

1 x 2 = 2

2 x 3 = 6

6 x 4 = 24

24 x 5 = 120

120 x 6 = 720

720 x 7 = 5,040

- and then -

1 x 2 x 3 x 4 x 5 x 6

1 x 2 = 2

2 x 3 = 6

6 x 4 = 24

24 x 5 = 120

120 x 6 = 720

7! - 6! = 4,320

Answer (b) is the correct answer

10.

7! = ?

4,050

4,250

5,040

5,080

Working the problem we have

1 x 2 x 3 x 4 x 5 x 6 x 7

1 x 2 = 2

2 x 3 = 6

6 x 4 = 24

24 x 5 = 120

120 x 6 = 720

720 x 7 = 5,040

__Solution__: 7! = 5,040

Answer (c) is the correct answer

1 x 2 x 3 x 4 x 5 x 6 x 7

1 x 2 = 2

2 x 3 = 6

6 x 4 = 24

24 x 5 = 120

120 x 6 = 720

720 x 7 = 5,040

Answer (c) is the correct answer

**Unlimited Quizzes Await You! 🚀**

Hey there, quiz champ! 🌟 You've already tackled today's free questions.

Ready for more?

Ready for more?

🔓 Unlock UNLIMITED Quizzes and challenge yourself every day. But that's

not all...

not all...

🔥 As a Subscriber you can join our thrilling "Daily Streak" against other

quizzers. Try to win a coveted spot on our Hall of Fame Page.

quizzers. Try to win a coveted spot on our Hall of Fame Page.

Don't miss out! Join us now and keep the fun rolling. 🎉

**Unlimited Quizzes Await You! 🚀**

Hey there, quiz champ! 🌟 You've already tackled today's free questions. Ready for more?

🔓 Unlock UNLIMITED Quizzes and challenge yourself every day. But that's not all...

🔥 As a Subscriber you can join our thrilling "Daily Streak" against other quizzers. Try to win a coveted spot on our Hall of Fame Page.

Don't miss out! Join us now and keep the fun rolling. 🎉

1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11

1 x 2 = 2

2 x 3 = 6

6 x 4 = 24

24 x 5 = 120

120 x 6 = 720

720 x 7 = 5,040

5,040 x 8 = 40,320

40,320 x 9 = 362,880

362,880 x 10 = 3,628,800

3,628,800 x 11 = 39,916,800

- and then -

1 x 2 x 3 x 4 x 5

1 x 2 = 2

2 x 3 = 6

6 x 4 = 24

24 x 5 = 120

11! ÷ 5! = 39,916,800 ÷ 120 = 332,640Solution:11! ÷ 5! = 332,640

Answer (a) is the correct answer