6 is a factor of 12066 and 49320. Is 6 a factor of 49320 + 12066 and 49320 - 12066?a.Nob.Yesc.Cannot be Determined
Question
Is 6 a factor of 49320 + 12066 and 49320 - 12066?
- a. No
- b. Yes
- c. Cannot be Determined
Solution
Yes, 6 is a factor of both 49320 + 12066 and 49320 - 12066.
Here's why:
Step 1: Add 49320 and 12066. The result is 61386. Step 2: Divide 61386 by 6. If the result is a whole number, then 6 is a factor of 61386. In this case, 61386 divided by 6 equals 10231, which is a whole number. Therefore, 6 is a factor of 49320 + 12066.
Step 3: Subtract 12066 from 49320. The result is 37254. Step 4: Divide 37254 by 6. If the result is a whole number, then 6 is a factor of 37254. In this case, 37254 divided by 6 equals 6209, which is a whole number. Therefore, 6 is a factor of 49320 - 12066.
So, the answer is b. Yes.
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