Tell whether 24 is a factor or multiple of the number 6, 36, 48

Tell whether 24 is a factor or multiple of the number 6, 36, 48.

The Correct Answer and Explanation is :

To determine whether 24 is a factor or a multiple of the numbers 6, 36, and 48, we need to understand the definitions of factors and multiples:

• A factor of a number is a whole number that can be divided evenly into that number, meaning there is no remainder.
• A multiple of a number is the result of multiplying that number by an integer.

Analyzing Each Number:

1. 24 and 6:

• To find if 24 is a multiple of 6, we can divide 24 by 6:
  [
  24 \div 6 = 4
  ]
• Since the division results in a whole number (4) with no remainder, we conclude that 24 is a multiple of 6.

1. 24 and 36:

• Now, let’s check if 24 is a factor of 36:
  [
  36 \div 24 = 1.5
  ]
• Since this does not yield a whole number, we see that 24 is not a factor of 36. Conversely, we can also check if 36 is a multiple of 24 by dividing:
  [
  36 \div 24 = 1.5
  ]
• This confirms that 36 is not a multiple of 24.

1. 24 and 48:

• To see if 24 is a factor of 48:
  [
  48 \div 24 = 2
  ]
• The result is a whole number (2), indicating that 24 is indeed a factor of 48. We can also check if 48 is a multiple of 24:
  [
  48 \div 24 = 2
  ]
• Since this results in a whole number, it reinforces that 48 is a multiple of 24.

Summary:

• 24 is a multiple of 6.
• 24 is not a factor of 36.
• 24 is a factor of 48.

This analysis helps clarify the relationships between these numbers in terms of factors and multiples.