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Q: What number is between the square of 1 and 25 has exactly 2 factors and that number are multiples of 66 and 605?

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Factors go into the number. The number goes into multiples.

Factors of the number will also be factors of the number's multiples. Multiples of the number will also be multiples of the number's factors.

All factors of a number n will be factors of any multiple of n. All multiples of a number n will be multiples of any factor of n.

Your mystery number is 11.

11

No. A factor is a number or algebraic expression by which another is exactly divisible. A multiple is a number that can be divided by another number without a remainder. Factors go into numbers, numbers go into multiples.

Factors go into the number evenly, the number goes into multiples evenly.

The list of factors of a number is a list of numbers that divide evenly into it. A list of multiples of a number is just a list of numbers that the first number divides. Example Factors of 6: 1,2,3,6 Multiples of 6: 6,12,18...

Multiples. Numbers have an infinite number of multiples.

They are the factors.

Maybe that the factors of the number are also factors of the number's multiples?

Prime factorizations are unique. No other number will have exactly the same number of prime factors as 28. Multiples of 14 will have some of the same factors.

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