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Q: What is a multiple of 5 less than 50 with 8 factors?

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30

It is 30.

30

Multiples of 50 that are less than 200 are 100 and 150.

2 x 3 x 5 = 30

It is: 48

48

The largest multiple of anything is infinite.

It's a multiple of 5, a multiple of 6 (since it's between twin primes), and less than 50. The only possibility is 30. To check: The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30

There is no number that is greater than 50 AND less than 10 as 10 is less than 50! However, a number greater than 10 and less than 50 which fits the bill is 11 - it only has 2 factors 1 & 11 (it is prime) and has multiples 6x11 (=66) and 55x11 (=605). If the question was greater than 50 and less than 100 then the number could only be 66 as 66 is the only number greater than 50 which has 66 as a multiple, but 66 has 8 factors (1, 2, 3, 6, 11, 22, 33, 66), meaning there is no number in that range.

48 has 10 factors, the most factors of any number under 50.

All prime numbers less than 50 have exactly two factors. e.g. 2,3,5,7,11,13,17,19,23,29,31,37,41,43 & 47.

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