ГДЗ Учебник по математике 5 класс Бунимович. 21. Простые числа. Задание 339

ОТВЕТЫ К ЗАДАНИЯМ

Разложите на простые множители числа:
а) 30, 70, 42, 110;
б) 16, 48, 36, 63;
в) 10, 100, 1000, 10000;
г) 90, 990, 630.

\begin{aligned} 30 & 2 \\ 15 & 3 \\ 5 & 5 \\ 1 \end{aligned}

30 =
2 *
3 *
5

\begin{aligned} 70 & 2 \\ 35 & 5 \\ 7 & 7 \\ 1 \end{aligned}

70 =
2 *
5 *
7

\begin{aligned} 42 & 2 \\ 21 & 3 \\ 7 & 7 \\ 1 \end{aligned}

42 =
2 *
7 *
3

\begin{aligned} 110 & 2 \\ 55 & 5 \\ 11 & 11 \\ 1 \end{aligned}

110 =
2 *
5 *
11

\begin{aligned} 16 & 2 \\ 8 & 2 \\ 4 & 2 \\ 2 & 2 \\ 1 \end{aligned}

16 = 2 * 2 * 2 * 2 = 2^{4}

\begin{aligned} 48 & 2 \\ 24 & 2 \\ 12 & 2 \\ 6 & 2 \\ 3 & 3 \\ 1 \end{aligned}

48 = 2 * 2 * 2 * 2 * 3 = 2^{4} * 3

\begin{aligned} 36 & 2 \\ 18 & 2 \\ 9 & 3 \\ 3 & 3 \\ 1 \end{aligned}

36 = 2 * 2 * 3 * 3 = 2^{2} * 3^{2}

\begin{aligned} 63 & 3 \\ 21 & 3 \\ 7 & 7 \\ 1 \end{aligned}

63 = 3 * 3 * 7 = 3^{2} * 7

\begin{aligned} 10 & 2 \\ 5 & 5 \\ 1 \end{aligned}

10 =
2 *
5

\begin{aligned} 100 & 2 \\ 50 & 2 \\ 25 & 5 \\ 5 & 5 \\ 1 \end{aligned}

100 = 2 * 2 * 5 * 5 = 2^{2} * 5^{2}

\begin{aligned} 1000 & 2 \\ 500 & 2 \\ 250 & 2 \\ 125 & 5 \\ 25 & 5 \\ 5 & 5 \\ 1 \end{aligned}

1000 = 2 * 2 * 2 * 5 * 5 * 5 = 2^{3} * 5^{3}

\begin{aligned} 10000 & 2 \\ 5000 & 2 \\ 2500 & 2 \\ 1250 & 2 \\ 625 & 5 \\ 625 & 5 \\ 125 & 5 \\ 25 & 5 \\ 5 & 5 \\ 1 \end{aligned}

10000 = 2 * 2 * 2 * 2 * 5 * 5 * 5 * 5 = 2^{4} * 5^{4}

\begin{aligned} 90 & 2 \\ 45 & 3 \\ 15 & 5 \\ 3 & 3 \\ 1 \end{aligned}

90 = 2 * 3 * 3 * 5 = 2 * 3^{2} * 5

\begin{aligned} 990 & 2 \\ 495 & 3 \\ 165 & 3 \\ 55 & 5 \\ 11 & 11 \\ 1 \end{aligned}

990 = 2 * 3 * 3 * 5 * 11 = 2 * 3^{2} * 5 * 11

\begin{aligned} 630 & 2 \\ 315 & 3 \\ 105 & 3 \\ 35 & 5 \\ 7 & 7 \\ 1 \end{aligned}

630 = 2 * 3 * 3 * 5 * 7 = 2 * 3^{2} * 5 * 7