Question

Factorise the following numbers into primes
32
57
23
150
216
208
765
342
377
559

Answer 1

☯ Question:

Factorize the following numbers into primes

• 32
• 57
• 23
• 150
• 216
• 208
• 765
• 342
• 377
• 559

     

☯ Solution:

⋆ 32

$\implies \sf{2 \times 16}$

$\implies \sf{2 \times 2 \times 8}$

$\implies \sf{2 \times 2 \times 2 \times 4}$

$\implies \sf{2 \times 2 \times 2 \times 2 \times 2}$

32 = 2 × 2 × 2 × 2 × 2

   

⋆ 57

$\implies \sf{3 \times 19}$

57 = 3 × 19

   

⋆ 23

$\implies \sf{23 \times 1}$

23 = 23 × 1

     

⋆ 150

$\implies \sf{5 \times 30}$

$\implies \sf{5 \times 5 \times 6}$

$\implies \sf{5 \times 5 \times 3 \times 2}$

150 = 5 × 5 × 3 × 2

     

⋆ 216

$\implies \sf{2 \times 108}$

$\implies \sf{2 \times 2 \times 54}$

$\implies \sf{2 \times 2 \times 2 \times 27}$

$\implies \sf{2 \times 2 \times 2 \times 3 \times 9}$

$\implies \sf{2 \times 2 \times 2 \times 3 \times 3 \times 3}$

216 = 2 × 2 × 2 × 3 × 3 × 3

       

⋆ 208

$\implies \sf{2 \times 104}$

$\implies \sf{2 \times 2 \times 52}$

$\implies \sf{2 \times 2 \times 2 \times 26}$

$\implies \sf{2 \times 2 \times 2 \times 2 \times 13}$

208 = 2 × 2 × 2 × 2 × 13

     

⋆ 765

$\implies \sf{5 \times 153}$

$\implies \sf{5 \times 3 \times 51}$

$\implies \sf{5 \times 3 \times 3 \times 17}$

765 = 5 × 3 × 3 × 17

   

⋆ 342

$\implies \sf{2 \times 171}$

$\implies \sf{2 \times 3 \times 57}$

$\implies \sf{2 \times 3 \times 3 \times 19}$

342 = 2 × 3 × 3 × 19

     

⋆ 377

$\implies \sf{13 \times 29}$

377 = 13 × 29

     

⋆ 559

$\implies \sf{13 \times 43}$

559 = 13 × 43

____________________

Answer 2

• Answer:

32 = 2 x 2 x 2 x 2 x 2

57 = 3 x 19

23 = 23 x 1

150 = 5 x 5 x 3 x 2

216 = 2 x 2 x 2 x 3 x 3 x 3

208 = 2 x 2 x 2 x 2 x 13

765 = 5 x 3 x 3 x 17

342 = 2 x 3 x 3 19

377 = 13 x 29

559 = 13 x 43

––––––-––––––