Thinking of a Number

Number Theory Level 1

I am thinking of an odd number.
It is a factor of 144.
It is greater than 4.

What is it?

5 7 Cannot be determined 9

Chung Kevin by Chung Kevin , 46, Australia

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1 solution

Zee Ell
Oct 3, 2016

144 = 2 4 × 3 2 144 = 2^4 × 3^2

The odd factors of 144 are: -9, -3, -1, 1, 3 and 9.

Amongst the odd factors, only the 9 is greater than 4. \text {Amongst the odd factors, only the } \boxed {9} \text { is greater than 4.}

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Correction: 144 144 also has odd negative factors.

Jesse Nieminen - 4 years, 8 months ago

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True, and they are now included in the solution. Another question is, that they all become irrelevant at the next step ...

Zee Ell - 4 years, 8 months ago

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I know that they are irrelevant, but for the sake of completeness they should be mentioned. :D

Jesse Nieminen - 4 years, 8 months ago

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