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geniusboy [140]
3 years ago
15

How many positive integers less than 100 are divisible by 7 but not divisible by 2, 3, 4, or 5?

Mathematics
1 answer:
Ne4ueva [31]3 years ago
4 0

Answer:  <em>4 positive integers</em>

Step-by-step explanation:

Positive integers less than 100 that are divisible by 7:

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98.

Let's write out numbers that are not divisible by 2 or 4:

7, 21, 35, 49, 63, 77, 91.

Now let's write out numbers that are not divisible by 3:

7, 35, 49, 77, 91.

Finally, let's write out the numbers that are not divisible by 5:

7, 49, 77, 91.

<em>Thus, there are only 4 positive integers less than 100 that are divisible by 7, but not divisible by 2, 3, 4, or 5.</em>

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