Question

13. Sheila and her 44 friends went for picnic to a park located in the centre of their city.

a. Can they divide themselves into groups of 2, 3, 4, 5, 6, 9 and 11 equally?

b. List the factors of 44

C. List the first 5 multiples of 44.​

Answer 1

$\large{\underline{\underline{\color{red}{\sf{ \: Given :-}}}}}$

1.) Sheila and her 44 friends went for the picnic to a park located in the centre of city.

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$\large{\underline{\underline{\color{blue}{\sf{ \: To \: Find :-}}}}}$

a.) Can these 44 friends be divided into groups of 2,3,4,5,6,9 and 11 equally.

b.) List the factors of 44.

c.) List the first five multiples of 44.

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$\large{\underline{\underline{\color{orange}{\sf{ \: Solution :-}}}}}$

a.) These students could be decided into :

• ➻ 2
• ➻ 4
• ➻ 11

These students could not be decided into :

• ➻ 3
• ➻ 5
• ➻ 6
• ➻ 9

$\qquad{━━━━━━━━━━━━━━━}$

b.) Factors of 44 are :

${\leadsto{\qquad{\sf{ 1 \times 44 = 44}}}} \\ \\ \ {\leadsto{\qquad{\sf{ 2 \times 22 = 44 }}}} \\ \\ \ {\leadsto{\qquad{\sf{ 4 \times 11 = 44 }}}} \\ \\ \ {\leadsto{\qquad{\sf{ 11 \times 4 = 44}}}} \\ \\ \ {\leadsto{\qquad{\sf{ 44 \times 1 = 44 }}}}$

Hence,

${\red{\longmapsto{\underline{\underbrace{\color{darkblue}{\sf{ Factors \: of \: 44 = 1,2,4,11 \: and \: 44}}}}}}}$

$\qquad{━━━━━━━━━━━━━━━}$

c.) First five multiples of 44 are :

${\leadsto{\qquad{\sf{ 44 \times 1 = 44}}}} \\ \\ \ {\leadsto{\qquad{\sf{ 44 \times 2 = 88 }}}} \\ \\ \ {\leadsto{\qquad{\sf{ 44 \times 3 = 132 }}}} \\ \\ \ {\leadsto{\qquad{\sf{ 44 \times 4 = 176}}}} \\ \\ \ {\leadsto{\qquad{\sf{ 44 \times 5 = 220 }}}}$

Hence,

${\red{\longmapsto{\underline{\underbrace{\color{darkblue}{\sf{ First \: 5 \: Multiples \: of \: 44 = 44,88,132,176 \: and \: 220}}}}}}}$

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Answer 2

Solution : Sheila and her 44 friends went for a picnic to a park located in the centre of their city (a) They can divide themselves into groups of - 2411 They can't divide themselves into groups of - 3 569(b) The factors of 44 are - 1, 2, 4, 11 , Nd 44 (c) 44 88132 176 220 264 308 356 __________________________________