Complete the factor tree with whole numbers to create a factor tree for 72.
the answers are
72
/\
3 24
/\
3 8
/\
2 4
/\
2 2
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To create a factor tree for 72, we need to find two numbers that multiply together to give us 72. Let's start by finding the smallest prime factor.
To determine if a number is divisible by a prime number, we will check if the number is divisible by 2, then 3, then 5, and so on, until we find the smallest prime factor.
Step 1: Divide 72 by 2. Since 72 is even, it is divisible by 2. 72 ÷ 2 = 36.
Now we have two branches in our factor tree. On the left branch, we write down the divisor (2), and on the right branch, we write down the quotient (36).
72
/ \
2 36
Step 2: We continue dividing the quotient, which is 36, by the smallest prime number, which is 2. 36 ÷ 2 = 18.
We add another branch to the right of the previous quotient (36) and write down the divisor (2), and on the right branch, we write down the new quotient (18).
72
/ \
2 36
/
2 18
Step 3: We keep dividing the new quotient, which is 18, by the smallest prime number, which is 2. 18 ÷ 2 = 9.
We add another branch to the right of the previous quotient (18) and write down the divisor (2), and on the right branch, we write down the new quotient (9).
72
/ \
2 36
/
2 18
/
2 9
Step 4: We divide the quotient, which is 9, by the next smallest prime number, which is 3. 9 ÷ 3 = 3.
We add another branch to the right of the previous quotient (9) and write down the divisor (3), and on the rightmost branch, we write down the new quotient (3).
72
/ \
2 36
/
2 18
/
2 9
/
3
Step 5: We cannot divide the number 3 further, so we write it down as it is.
72
/ \
2 36
/
2 18
/
2 9
/
3
Now we have completed the factor tree for 72 using whole numbers. The prime factors of 72 are 2 x 2 x 2 x 3 x 3.
To create a factor tree for 72 using whole numbers, we start by finding two factors of 72.
72 can be divided by 2, resulting in 36.
36 can be divided by 2, resulting in 18.
18 can be divided by 2, resulting in 9.
Since 9 is a prime number, we stop here.
The completed factor tree for 72 is:
72
___|___
| 2
36
___|___
| 2
18
___|___
| 2
9
|
3