High School

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------------------------------------------------ Which of these numbers have 3 as a factor? Check all that apply.

A. 36
B. 57
C. 14
D. 89
E. 88
F. 90

Answer :

Final answer:

The numbers that have 3 as a factor are 36, 57, and 90.

Explanation:

To determine which numbers have 3 as a factor, we need to check if each number is divisible by 3. If a number is divisible by 3, then 3 is a factor of that number.

Out of the given numbers, the numbers that are divisible by 3 and therefore have 3 as a factor are:

  • 36
  • 57
  • 90

Answers: 36, 57, and 90

Explanation

Divide the number by 3. If you get a whole number result, then it means 3 is a factor of that number.

  • 36/3 = 12
  • 57/3 = 19
  • 14/3 = 4.6667 approximately
  • 89/3 = 29.6667 approximately
  • 88/3 = 29.3333 approximately
  • 90/3 = 30

Of that list the values 36, 57, and 90 give whole numbers when we divide them over 3. Therefore, 3 is a factor of those values in bold.

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Another way to see if something has a factor of 3 is to use the divisibility by 3 check.

This is where we add the digits to see if we get a multiple of 3 or not.

For instance 57 has its digits add to 5+7 = 12 which is a multiple of 3 (note further that 1+2 = 3, but you don't need to go this far). Another example is 3+6 = 9 to show that 36 is a multiple of 3.

A example of a non-multiple would be 14 since 1+4 = 5 is not a multiple of 3. Same goes with 89 because 8+9 = 17 and 1+7 = 8; both are non-multiples of 3. The value 88 is a similar story and it's not a multiple of 3.