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Q: What is the number whose prime factors are all prime numbers between 20 and 30 and no factor is repeated?

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It can. Square numbers have repeated factors.

667

Square numbers have repeated factors. 6 x 6 = 36

30

210

There is no such number. Since there are infinitely many prime numbers, the only number that can be divided by all of them is zero. But that can also be divided by numbers with repeated factors.

18 has square factors, but no repeated ones.

The repeated factor of 102 is 10.

All numbers have factors. Some factors are prime numbers, some are not.

2 x 3 x 5 = 30

All numbers have factors. Some numbers have some of the same factors as other numbers. These are known as common factors. The largest of these is known as the greatest common factor, or GCF.

Factors go into numbers. Numbers go into multiples.

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