Question

24. Find the common factors:
(i) 12x, 36 (ii) 2y, 22xyz (iii) 14pq, 28p²q²​

Answer 1

${\pmb{\sf{\underline{Given \: that...}}}}$

➼ Some expressions are given below, we have to find out it's common factors! The expression is mentioned below:

$\quad \quad \bull \: {\sf{12x,36}}$

$\quad \quad \bull \: {\sf{2y,22xyz}}$

$\quad \quad \bull \: {\sf{14pq,28p^{2}q^{2}}}$

${\pmb{\sf{\underline{Solution...}}}}$

➼ The common factors of the given expressions are given below:

$\quad \quad \bull \: {\sf{12x,36 \: = \pink {12}}}$

$\quad \quad \bull \: {\sf{2y,22xyz \: = \pink {2y}}}$

$\quad \quad \bull \: {\sf{14pq,28p^{2}q^{2} \: = \pink {14pq}}}$

${\pmb{\sf{\underline{Full \; Solution...}}}}$

➼ Let us find the part one of this given question.

$\bf :\implies Given \: expression \: is \: 12x,36 \\ \\ \sf :\implies Factor \: of \: 12x \: are \: 2 \times 2 \times 3 \times x \\ \\ \sf :\implies Factor \: of \: 36 \: are \: 2 \times 2 \times 3 \times 3 \\ \\ \sf :\implies Common \: factors \: are \: 2 \times 2 \times 3 \\ \\ \sf :\implies Common \: factors \: are \: 4 \times 4 \times 3 \\ \\ \bf 12 \: is \: common \: factor.$

➼ Let us find the part second of this given question.

$\bf :\implies Given \: expression \: is \: 2y,22xyz \\ \\ \sf :\implies Factor \: of \: 2y \: are \: 2 \times y \\ \\ \sf :\implies Factor \: of \: 22xyz \: are \: 2 \times 11 \times x \times y \times z \\ \\ \sf :\implies Common \: factors \: are \: 2 \times y \\ \\ \bf :\implies Common \: factor \: is \: 2y \: here.$

➼ Let us find the part third of this given question.

$\bf :\implies Given \: expression \: is \: 14pq,28p^{2}q^{2} \\ \\ \sf :\implies Factor \: of \: 14pq \: are \: 2 \times 7 \times p \times q \\ \\ \sf :\implies Factor \: of \: 28p^{2}q \: are \: 2 \times 2 \times 7 \times p \times p \times q \times q \\ \\ \sf :\implies Common \: factors \: are \: 2 \times 7 \times p \times q \\ \\ \sf :\implies Common \: factors \: are \: 14 \times p \times q \\ \\ \sf :\implies Common \: factors \: is \: 14pq \\ \\ \bf :\implies 14pq \: is \: the \: common \: factor \: here.$