Question

Prime Factorization method of finding square root

Answer 1

Answer:

Step I: Obtain the given number.

Step II: Resolve the given number into prime factors by successive division.

Step III: Make pairs of prime factors such that both the factors in each pair are equal. Since the number is a perfect square, you will be able to make an exact number of pairs of prime factors.

Step IV: Take one factor from each pair.

Step V: Find the product of factors obtained in step IV.

Step VI: The product obtained in step V is the required square root.

Square root by prime factorization method

Example 1

Find the square root of 1156.

1156 = 2 x 578

= 2 x 2 x 289

= 2 x 2 x 17 x 17

∴ √1156 = √( 2 x 2 x 17 x 17 )

√1156 = 2 x 17

Step-by-step explanation:

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Answer 2

Answer: to do prime factorisation u need  to:-

Step-by-step explanation:

1] first we divde the number to its PRIME FACTOR

2] Do this until you get 0 at the end

3] then make the pair of factors ( which u have written in left hand side)

IF ALL THE FACTORS ARE IN PAIRS THEN DRAW EACH NUMBER FROM EACH PAIRS AND MULTIPLY IT.

YOU WILL GET YOUR ANSWER.

for eg-√49

after following this method you will get factors as√7 x 7

so your ANSWER WILL BE one no. from pair which is 7

HOPE THIS HELPS!