What is the value of 5! (5 factorial)?

Enhance your skills with the Saxon Math Course 3 Test. Utilize flashcards and multiple-choice questions, each with detailed explanations. Prepare thoroughly for your exam!

The value of 5! (5 factorial) is calculated by multiplying all positive integers from 1 up to 5. This means:

5! = 5 × 4 × 3 × 2 × 1

Breaking this down step by step:

  • Start with 5:

5

  • Multiply by 4:

5 × 4 = 20

  • Multiply by 3:

20 × 3 = 60

  • Multiply by 2:

60 × 2 = 120

  • Finally, multiply by 1:

120 × 1 = 120

Thus, 5! equals 120, which is the correct answer. Factorials grow rapidly, so for each additional integer, the product increases significantly. This understanding helps visualize how factorials function and why they yield larger results as the base number increases.

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