Question

decompoē em factores primos : a)24 b)36 c)48 d)75 e)144 f)1200

Answer 1

Olá, bom dia!

$\begin{array}{r |l} 24&2\\ 12&2\\ 6&2\\ 3&3\\ 1\end{array}\\\\2^3\cdot3=24\\\\\\\begin{array}{r |l} 36&2\\ 18&2\\ 9&3\\ 3&3\\ 1\end{array}\\\\2^2\cdot3^2=36$


$\begin{array}{r |l} 48&2\\ 24&2\\ 12&2\\ 6&2\\ 3&3\\1\end{array}\\\\2^4\cdot3=48\\\\\\\begin{array}{r |l} 75&3\\ 25&5\\ 5&5\\ 1\end{array}\\\\3\cdot5^2=75$


$\begin{array}{r |l} 144&2\\ 72&2\\ 36&2\\ 18&2\\ 9&3\\ 3&3\\ 1\end{array}\\\\2^4\cdot3^2=144\\\\\\\begin{array}{r |l} 1200&2\\ 600&2\\ 300&2\\ 150&2\\ 75&3\\ 25&5\\ 5&5\\ 1\end{array}\\\\2^4\cdot3\cdot5^2=1200$




Espero ter ajudado.
Bons estudos!

Answer 2

24 = 2³ * 3
36 =2² * 3²
48 =2⁴ *3
75 =3 * 5²
144 =2⁴ * 3²
1200 =2⁴  3 * 5²