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Question
Fill the complete factor tree and find the sum of the missing values in the two rectangles in given factor tree.
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Solution
Let's first start with the left branch.
80 has to be split into 20 and another factor such that they will form a factor pair.
Thus, when 20 is one factor, the possible factor pair will be: 4 x 20 = 80
And, the missing value in the rectangle on the left side will be 4.
Further, we can split 4 into its factors as 2 x 2 = 4.
Thus, the missing values in the circles in the left branch will be 2 and 2.
In the right branch, 20 has to be split into factors with 2 as one of the factor. The possible factor pairs will thus be: 10 x 2 = 20
Thus, 10 is the missing value in the rectangle on the right branch.
Futher, 10 can be split into its factors as 2 x 5 = 10
Thus, the missing values in circles at the bottom of the right branch will be: 2 and 5.
The complete factor will look like as shown below.
Sum of missing values in rectangle is 10 + 4 = 14
80 has to be split into 20 and another factor such that they will form a factor pair.
Thus, when 20 is one factor, the possible factor pair will be: 4 x 20 = 80
And, the missing value in the rectangle on the left side will be 4.
Further, we can split 4 into its factors as 2 x 2 = 4.
Thus, the missing values in the circles in the left branch will be 2 and 2.
In the right branch, 20 has to be split into factors with 2 as one of the factor. The possible factor pairs will thus be: 10 x 2 = 20
Thus, 10 is the missing value in the rectangle on the right branch.
Futher, 10 can be split into its factors as 2 x 5 = 10
Thus, the missing values in circles at the bottom of the right branch will be: 2 and 5.
The complete factor will look like as shown below.
Sum of missing values in rectangle is 10 + 4 = 14 Suggest Corrections
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