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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
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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.

This problem has been solved

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