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"Which of the following is NOT a factor of 90? A. 15 B. 5 C. 12 D. 6"
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Step 1:
: To solve this problem, we need to check which of the options are factors of 90.

A factor is a number that divides another number evenly.

Step 2:
: First, let's find the prime factors of 90.

We can do this by dividing 90 by the smallest prime number, which is 2, and continuing until we get a prime number. 90 ÷ 2 = 45 45 ÷ 3 = 15 15 ÷ 3 = 5 Since 5 is a prime number, we have found the prime factors of 90: 2, 3, 3, 5.

Step 3:
: Now, let's check each option to see if it is a factor of 90.

A. 15: We know that 15 is a prime factor of 90, so it is a factor. B. 5: We know that 5 is a prime factor of 90, so it is a factor. C. 12: We can find if 12 is a factor by dividing 90 by 12: 90 ÷ 12 = 7.5. Since 7.5 is not a whole number, 12 is not a factor of 90. D. 6: We can find if 6 is a factor by dividing 90 by 6: 90 ÷ 6 = 15. Since 15 is a whole number, 6 is a factor of 90.

Step 4:
: Comparing the options, we find that option C, 12, is not a factor of 90.

Final Answer

The option that is NOT a factor of 90 is C. 12.