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<div style="text-align: justify;"><font size="4" style="font-family: times new roman,times,serif;">¿Cuál de las siguientes descomposiciones en factores primos corresponde al menor número entero positivo que es divisible por <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#v«/mi»«/math»</span> y <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#w«/mi»«/math»</span>? </font></div>
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<div style="text-align: justify;"><font size="4" style="font-family: times new roman,times,serif;">Solución:<br /> </font><br /><font size="4" style="font-family: times new roman,times,serif;">El menor entero positivo que es divisible por </font><font size="4" style="font-family: times new roman,times,serif;"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#v«/mi»«/math»</span></font><font size="4" style="font-family: times new roman,times,serif;"> y </font><font size="4" style="font-family: times new roman,times,serif;"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#w«/mi»«/math»</span></font><font size="4" style="font-family: times new roman,times,serif;"> corresponde al <span style="font-weight: bold;">mínimo común múltiplo</span> para </font><font size="4" style="font-family: times new roman,times,serif;"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#v«/mi»«/math»</span></font><font size="4" style="font-family: times new roman,times,serif;"> y </font><font size="4" style="font-family: times new roman,times,serif;"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#w«/mi»«/math»</span></font><font size="4" style="font-family: times new roman,times,serif;">.</font><br /><font size="4" style="font-family: times new roman,times,serif;">Procederemos entonces a descomponer cada número solicitado en factores primos.</font><br /><font size="4" style="font-family: times new roman,times,serif;">La descomposición en factores primos de </font><font size="4" style="font-family: times new roman,times,serif;"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#v«/mi»«/math»</span></font><font size="4" style="font-family: times new roman,times,serif;">es: </font><font size="4" style="font-family: times new roman,times,serif;"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#v1«/mi»«/math»</span></font><font size="4" style="font-family: times new roman,times,serif;"> y </font><br /><font size="4" style="font-family: times new roman,times,serif;">la descomposición en factores primos de </font><font size="4" style="font-family: times new roman,times,serif;"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#w«/mi»«/math»</span></font><font size="4" style="font-family: times new roman,times,serif;"> es: </font><font size="4" style="font-family: times new roman,times,serif;"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#w1«/mi»«/math»</span></font><br /><br /><font size="4" style="font-family: times new roman,times,serif;">Recuerda que el <span style="font-weight: bold;">mínimo común múltiplo</span> es el<span style="font-weight: bold;"> producto de todos los factores distintos</span> que aparecen en cada una de las descomposiciones anteriores elevados a sus máximos exponentes.<br /><br /></font><font size="4" style="font-family: times new roman,times,serif;">Así, la descomposición del <span style="font-weight: bold;">mínimo común múltiplo</span> es: <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#a«/mi»«/math»</span></font><br /><font size="4" style="font-family: times new roman,times,serif;">Por lo tanto, <span style="font-weight: bold;">el menor entero positivo que es divisible por</span> <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#v«/mi»«/math»</span> y <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#w«/mi»«/math»</span> es: </font><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#a«/mi»«/math»</span><br /><br style="font-family: times new roman,times,serif;" /></div>
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<font size="4" style="font-family: times new roman,times,serif;"> ¡Muy bien, sigue así!<br /></font>
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<div style="text-align: justify; font-family: times new roman,times,serif;"><font size="4"> Has determinado la descomposición en factores primos del <span style="font-weight: bold;">máximo común divisor</span> entre los números dados. En este caso <span style="font-weight: bold;">no es lo solicitado</span> en la pregunta. </font></div>
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<font size="4" style="font-family: times new roman,times,serif;"> Has determinado la descomposición en factores primos del producto de los números dados, <span style="font-weight: bold;">pero no es la menor descomposición.</span> </font>
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<font size="4" style="font-family: times new roman,times,serif;"> Al parecer estás sumando. Toma otro camino. </font>
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Choice 6
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Choice 7
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Hint 1
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Wednesday, 21 August 2013, 1:52 PM
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on
Wednesday, 21 August 2013, 1:52 PM
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