Question

which numbers betwee 40 and 49 have 2 and 3 in their prime factorization? use exponents to write the factorization of each number

Answer 1

if they have 2 and 3 they also have 6, so this question is asking what numbers between 40 and 49 are multiples of 6

Answer 2

\[6\times 7=42\]works as does
\[6\times 8=48\]

Answer 3

thank you!!!
this is now making sense

Answer 4

how do i use exponents to write the factorization of each number?

Answer 5

From a Mathematica one line program and a coder's text editor:
{{{2, 3}, {5, 1}},
{{41, 1}},
{{2, 1}, {3, 1}, {7, 1}},
{{43,1}},
{{2, 2}, {11, 1}},
{{3, 2}, {5, 1}},
{{2, 1}, {23, 1}},
{{47,1}},
{{2, 4}, {3, 1}},
{{7, 2}}
}
40=2^3 5^1
41=41^1
42=2^1 3^1 7^1
43=43^1
. . . . .
48=2^4 3^1
49=7^2