Posted by **B.B.** on Friday, June 26, 2009 at 7:53am.

I am having some trouble with this problem: What characteristics do the numbers 8, 10, 15, 26 and 33 have that the numbers 5, 9, 16, 18, and 24 don't have? ( Hint: List the factors of the numbers.) Give two numbers that have this characteristic. Here is my answer: 8, 10, 15, 26, 33 each have four distinct factions. Another 2 numbers that have this characteristic are: 6 and 27. Did I answer this right? Could you explain it to me if my answer is not right? Thanks.

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**bobpursley**, Friday, June 26, 2009 at 9:11am
What do you mean have four distinct "fractions"? Please explain to me how 26 has four distinct "fractions".

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**Reiny**, Friday, June 26, 2009 at 9:31am
This same question has appeared before.

I ignored it at the time since I thought it was a silly question.

Just about as absurd as

"What characteristics do the numbers 2, 3 10 12 12 have that the numbers 1, 4, 5, 6, 7, 8, 9, 11, 14 don't have?"

answer: When sounded out in English the first set starts with the letter "t"

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**bobpursley**, Friday, June 26, 2009 at 9:34am
My Lord. And this is in math class? Drop the class, if not drop the school.

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**MathMate**, Friday, June 26, 2009 at 3:42pm
*Here is my answer: 8, 10, 15, 26, 33 each have four distinct ***factors**. Another 2 numbers that have this characteristic are: 6 and 27. Did I answer this right? Could you explain it to me if my answer is not right? Thanks.

B.B. In my opinion I think your explanation holds water after the minor typo correction. There was a hint about listing the factors. Yes, 6 and 27 both have 4 factors, counting 1 and the number itself.

I was thinking along the same lines in the previous posted question, but since I did not list the factors explicitly, and in my mind, I only counted prime factors, so I missed.

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