Best Answer

200

100,2

50,2,2

25,2,2,2

5,5,2,2,2

2 x 2 x 2 x 5 x 5 = 200

The square root is 10 times the square root of 2.

Q: What is the square root of 200 using a factor tree?

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you call it a square root. that's so corny but true.

2x2x222

252 126,2 63,2,2 21,3,2,2 7,3,3,2,2

First, pick a factor pair whose product is 246. Then, for each number that is not prime, choose a factor pair for it. Continue until you have reduced each branch of the tree to prime numbers. Here is a factor tree OS 246, using periods for spacing: ....246 ...../ \ ...6 x 41 ../ \ 2 x 3 The prime factors are 2, 3, and 41.

Factor tree of 40: 40 20,2 10,2,2 5,2,2,2

Related questions

The square root of 64.36 is an irrational number. Consequently you cannot find the root using a factor tree.

The square root of 900 is 30 and it is a factor of 900

147 49,3 7,7,3 The square root of 147 equals the square root of 49 times the square root of 3 which is 7 times the square root of 3.

A factor tree gives you the prime factorization of a number. If that number is a perfect square, the prime factors will be in pairs. Select one of each pair. Example: 2 x 2 x 3 x 3 = 36 2 x 3 = 6, the square root of 36

84 42 2 21 2 2 square root of 21 84 2 42 factor tree 6 7 2 3

A factor tree has factors, not square roots - unless they are integers.

tree

1936 /\ 44 45 /\ /\ 22 15 /\ /\ 1 1 12

1,3,5,15,25,75

828 4,207 4,9,23 22 x 32 x 23 = 828

655 5,131

The prime factorization.