Using the two prime factorizations above, what is the prime factorization for 1,296 × 60 or 77,760? A. 26 × 34 × 15 B. 28 × 34 × 15 C. 26 × 35 × 5 D. 28 × 35 × 5
+33615 $${factor}{\left({\mathtt{1\,296}}{\mathtt{\,\times\,}}{\mathtt{60}}\right)} = {{\mathtt{2}}}^{{\mathtt{6}}}{\mathtt{\,\times\,}}{{\mathtt{3}}}^{{\mathtt{5}}}{\mathtt{\,\times\,}}{\mathtt{5}}$$
So C is the answer (noting that it should be interpreted as 2^6 x 3^5 x 5)
.
+33615 $${factor}{\left({\mathtt{1\,296}}{\mathtt{\,\times\,}}{\mathtt{60}}\right)} = {{\mathtt{2}}}^{{\mathtt{6}}}{\mathtt{\,\times\,}}{{\mathtt{3}}}^{{\mathtt{5}}}{\mathtt{\,\times\,}}{\mathtt{5}}$$
So C is the answer (noting that it should be interpreted as 2^6 x 3^5 x 5)
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