Express 686×112 as a product of prime factors only in exponential form

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Express 686×112 as a product of prime factors only in exponential form​

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large underline{ sf{Solution-}}      Basic Concept  :-        Prime Factorization' is finding which prime numbers multiply together to make the original number.     How to find prime factorization :-      Step 1: Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers.       Step 2: Write the number as a product of prime numbers.        Let's solve the problem now !!        rm : longmapsto :Prime   : factorization  :  of   : 686       begin{gathered} begin{gathered} begin{gathered}  : :  begin{array}{c|c} { underline{ sf{2}}}&{ underline{ sf{ : :686 : : :}}}   { underline{ sf{7}}}&  underline{ sf{ : :343 : : :}}    underline{ sf{7}}& underline{ sf{ : :49 :  : :}}  { underline{ sf{7}}}&{ underline{ sf{ : :7 : : :}}}   { underline{ sf{}}}&{{ sf{ : :1 : : :}}}   end{array} end{gathered} end{gathered} end{gathered}       rm : implies :Prime  :  factorization  :  of   : 686 = 2  times  {7}^{3}        rm : longmapsto :Prime   : factorization   : of  :  112       begin{gathered} begin{gathered} begin{gathered}  : :  begin{array}{c|c} { underline{ sf{2}}}&{ underline{ sf{ : :112 : : :}}}   { underline{ sf{2}}}&  underline{ sf{ : :56 : : :}}    underline{ sf{2}}& underline{ sf{ : :28 :  : :}}  { underline{ sf{2}}}&{ underline{ sf{ : :14 : : :}}}   { underline{ sf{7}}}&{ underline{ sf{ : :7 : : :}}}     { underline{ sf{}}}&{{ sf{ : :1 : : :}}}   end{array} end{gathered} end{gathered} end{gathered}       rm : implies :Prime  :  factorization  :  of  :  112 =  {2}^{4}   times 7        sf  :   therefore  : Prime  :  factorization  :  of   : 686  :   times   : 112 = 2  times  {7}^{3}   times  {2}^{4}   times 7     rm : longmapsto :  sf  :  =   :  {2}^{5}   times  {7}^{4}

Adeline

a rational number between 1/5 and 6/9 is a) 32/45 b) 7/45 c) 16/45 d) 2/45

TO DRAW THE GRAPH OF PAIR OF LINEAR EQUATIONS IN TWO VARIABLES
GIVEN BELOW AND VERIFY THE CONSISTENCY OF THE SYSTEM OF LINE

1 thought on “Express 686×112 as a product of prime factors only in exponential form”

Basic Concept :-

Let’s solve the problem now!!

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