A six digit number is divisible by 33. If 54 is added to the number then the new number formed will also be divisible by?(1 Point)39211
Question
A six digit number is divisible by 33. If 54 is added to the number then the new number formed will also be divisible by?(1 Point)39211
Solution
The question seems to be asking what the new number (original six-digit number + 54) will be divisible by.
Here are the steps to solve this:
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We know that the original number is divisible by 33. This means that the number is a multiple of 33.
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If we add 54 to this number, we need to find out what the new number is divisible by.
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The key here is to understand the factors of 54. The prime factors of 54 are 2, 3, 3, and 3.
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Since the original number is divisible by 33, it must also be divisible by the prime factors of 33, which are 3 and 11.
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Therefore, the new number (original number + 54) will be divisible by 2, 3, and 11.
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However, since the original number was already divisible by 3 and 11, the new factor introduced by adding 54 is 2.
So, the new number will also be divisible by 2.
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