document.write( "Question 646945: I am a number between 16 and 30. The product of my two prime factors is 6. I have an even number of factors. What number am I? \n" ); document.write( "

Algebra.Com's Answer #405984 by MathLover1(20850) $\"\"$ $\"About$

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let's a number be $\"x\"$ \r
\n" ); document.write( "\n" ); document.write( "given:\r
\n" ); document.write( "\n" ); document.write( " $\"16%3Cx%3C30\"$
\n" ); document.write( "The product of my two prime factors is $\"6\"$ ; so,
\n" ); document.write( " $\"2\"$ and $\"3\"$ are $\"prime\"$ numbers, and they are $\"2\"$ and $\"3\"$ $\"prime\"$ $\"+factors\"$ of $\"6\"$ ...there are two of them, means even number \r
\n" ); document.write( "\n" ); document.write( " $\"2%2A3=6\"$ , but it cannot make $\"16%3Cx%3C30\"$ true\r
\n" ); document.write( "\n" ); document.write( "next number with same prime factors is $\"12=2%2A2%2A3\"$ , but it cannot make $\"16%3Cx%3C30\"$ true either \r
\n" ); document.write( "\n" ); document.write( "only numbers that make it true are $\"18\"$ and $\"24\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x\"$ cold be $\"18\"$ ( $\"2%2A3%5E2\"$ ) or $\"24\"$ ( $\"2%5E3%2A3\"$ )\r
\n" ); document.write( "\n" ); document.write( "because
\n" ); document.write( " $\"16%3C18%3C30\"$ and $\"16%3C24%3C30\"$ ....true\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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