If a number is a factor of 36 and a multiple of 4, which of the following number

Practice Questions

Q1
If a number is a factor of 36 and a multiple of 4, which of the following numbers could it be?
  1. 8
  2. 12
  3. 16
  4. 20

Questions & Step-by-Step Solutions

If a number is a factor of 36 and a multiple of 4, which of the following numbers could it be?
  • Step 1: Understand what a factor is. A factor of a number is a whole number that can be multiplied by another whole number to get that number. For example, 1, 2, 3, 4, 6, 9, 12, 18, and 36 are all factors of 36.
  • Step 2: Understand what a multiple is. A multiple of a number is the result of multiplying that number by an integer. For example, multiples of 4 include 4, 8, 12, 16, 20, 24, 28, 32, 36, etc.
  • Step 3: List the factors of 36. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.
  • Step 4: List the multiples of 4 that are less than or equal to 36. The multiples of 4 up to 36 are 4, 8, 12, 16, 20, 24, 28, 32, and 36.
  • Step 5: Find the common numbers in both lists. Look for numbers that are both factors of 36 and multiples of 4. The common numbers are 4, 12, and 36.
  • Step 6: Choose one of the common numbers. For example, 12 is a factor of 36 and also a multiple of 4, since 12 = 4 * 3.
  • Factors and Multiples – Understanding the definitions of factors (numbers that divide another number without a remainder) and multiples (numbers that can be obtained by multiplying a number by an integer).
  • Divisibility Rules – Applying rules to determine if a number is divisible by another, particularly for 4 and 36 in this case.
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