Question

Write all the factors of the following numbers: $\left(\mathrm{a}\right)24\left(\mathrm{b}\right)15\left(\mathrm{c}\right)21\left(\mathrm{d}\right)27\left(\mathrm{e}\right)12\left(\mathrm{f}\right)20\left(\mathrm{g}\right)18\left(\mathrm{h}\right)23\left(\mathrm{i}\right)36$

Answer 1

Find the factors of given numbers.

A factor of a number divides the number exactly without leaving a remainder.

Factors of $24$ are,
$$\begin{gathered} 24=1\times 24 \\ 24=2\times 12 \\ 24=3\times 8 \\ 24=4\times 6 \end{gathered}$$
Therefore, all the factors of $24$ are $1,2,3,4,6,8,12$ and $24.$

Factors of $15$ are,
$$\begin{gathered} 15=1\times 15 \\ 15=3\times 5 \end{gathered}$$

Therefore, all the factors of $15$ are $1,3,5$ and $15$.

Factors of $21$ are,
$$\begin{gathered} 21=1\times 21 \\ 21=3\times 7 \end{gathered}$$

Therefore, all the factors of $21$ are $1,3,7$ and $21$

Factors of $27$ are,
$$\begin{gathered} 27=1\times 27 \\ 27=3\times 9 \end{gathered}$$
Therefore, all the factors of $27$ are $1,3,9,$ and $27$

Factors of $12$ are,
$$\begin{gathered} 12=1\times 12 \\ 12=2\times 6 \\ 12=3\times 4 \end{gathered}$$
Therefore, all the factors of 12 are $1,2,3,4,6$ and $12$.

Factors of $20$ are,
$$\begin{gathered} 20=1\times 20 \\ 20=2\times 10 \\ 20=4\times 5 \end{gathered}$$
Therefore, all the factors of $20$ are: $1,2,4,5,10$ and $20$.

Factors of $18$ are,
$$\begin{gathered} 18=1\times 18 \\ 18=2\times 9 \\ 18=3\times 6 \end{gathered}$$
Therefore, all the factors of $18$ are $1,2,3,6,9$and$18.$

Factors of $23$ are,
$23=1\times 23$
Therefore, all the factors of the prime number $23$ are $1,23$.

Factors of $36$ are,
$$\begin{gathered} 36=1\times 36; \\ 36=2\times 18; \\ 36=3\times 12; \\ 36=4\times 9; \\ 36=6\times 6 \end{gathered}$$
Therefore, all the factors of $36$ are $1,2,3,4,6,9,12,18,$ and $36$.

Thus,

(a) All the factors of $24$ are $1,2,3,4,6,8,12$ and $24$

(b) All the factors of $15$ are $1,3,5$ and $15$.

(c) All the factors of $21$ are $1,3,7$ and $21$

(d) All the factors of $27$ are $1,3,9,$ and $27$.

(e) All the factors of 12 are $1,2,3,4,6$ and $12$.

(f) All the factors of $20$ are: $1,2,4,5,10$ and $20$.

(g) All the factors of $18$ are $1,2,3,6,9$and$18.$

(h) All the factors of the prime number $23$ are $1,23$.

(i) All the factors of $36$ are $1,2,3,4,6,9,12,18,$ and $36$.