Prime Factorization method of finding square root
Answers
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:
mark me as brainliest
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!