Clue 1: the number is a perfect square
Clue 2: the only prime number in ti's prime factorization is 2
Clue 3: the number is a factor of 2
Clue 4: the sum of it's digits is odd
Please help, my friend asked me this and i'm stumped
2007-10-07 13:07:28 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Okay, well we're told that the number is a perfect square. So I'll start listing perfect squares: 1, 4, 9, 16, 25, 36
Well, it appears that 16 works. Here's why.
It is a perfect square (4^2 to be precise)
It's prime factorization is 2 * 2 * 2 * 2.
It's a factor of 2, since you can multiply 2 * 8 to get it.
And the sum of its digits is 7, which is odd!
:-) Hope this helps!
2007-10-07 13:12:38 · answer #1 · answered by Teah 1 · 0⤊ 0⤋
There's a problem here, sorry!
The answer is: There is no such number.
Look at clues 2 and 3.
The only factors of 2 are 1 and 2.
If the only prime number in the number's factorisation is 2
then it must be 2.
But then the sum of its digits is not odd.
So there is no such number.
The other posters to date have all misread clue 3.
If it said: The number HAS a factor of 2, then
they would be correct.
2007-10-07 21:02:08 · answer #2 · answered by steiner1745 7 · 0⤊ 0⤋
It's 16.
2007-10-07 20:12:10 · answer #3 · answered by : ) 4 · 0⤊ 0⤋
16 or 256 or 1024 or 4096 or...
2007-10-07 20:18:15 · answer #4 · answered by Mugen is Strong 7 · 0⤊ 0⤋