Which of the factors of 120 are composite numbers

General
1

which of the factors of 120 are composite numbers

2

Which of the factors of 120 are composite numbers?

Answer: To identify the composite factors of 120, we’ll first determine all the factors of 120, and then filter out the composite numbers from that list. Let’s begin:

  1. Find all factors of 120:

    • A factor is a number that divides another number without leaving a remainder.
    • List of factors of 120:
      1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120.

  2. Identify composite factors:

    • Composite numbers are natural numbers greater than 1 that have more than two distinct positive divisors.

    • Let’s check each factor:

      • 1: Neither prime nor composite.
      • 2: Prime number.
      • 3: Prime number.
      • 4: Composite number (1, 2, 4).
      • 5: Prime number.
      • 6: Composite number (1, 2, 3, 6).
      • 8: Composite number (1, 2, 4, 8).
      • 10: Composite number (1, 2, 5, 10).
      • 12: Composite number (1, 2, 3, 4, 6, 12).
      • 15: Composite number (1, 3, 5, 15).
      • 20: Composite number (1, 2, 4, 5, 10, 20).
      • 24: Composite number (1, 2, 3, 4, 6, 8, 12, 24).
      • 30: Composite number (1, 2, 3, 5, 6, 10, 15, 30).
      • 40: Composite number (1, 2, 4, 5, 8, 10, 20, 40).
      • 60: Composite number (1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60).
      • 120: Composite number (1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120).

  3. List of composite factors of 120:

    • After filtering, the composite factors are:
      4, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120.

Therefore, the composite factors of 120 are 4, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120.