Construct a factor tree for the given number.
5) 392
Keep dividing by any factors until you get to the prime factors.
2 goes into 392.
392/2 = 196
2 goes into 196
196/2 = 98
2 goes into 98
98/2 = 49
So far we have 2^3, because we divided by 2 three times.
Now, 7 goes into 49.
49/7 = 7.
Therefore, we have 7^2 and 2^3 as the prime factors
392
| \
196 2
| \
98 2
| \
49 2
| \
7 7
therefore
392 = 2.2.2.7.7
 .
To construct a factor tree for a given number, you need to find its prime factors and write them in a branching structure.
To find the prime factors of 392, start by dividing it by the smallest prime number, which is 2. 392 divided by 2 equals 196. So, you write "2" on the left branch:
392
|
2
Next, divide 196 by 2 again. You get 98. Write another "2" on a lower branch:
392
|
2
/
98
|
2
Continue dividing by 2 until you can no longer divide evenly. 98 divided by 2 is 49, which is a prime number. So, write "49" on a lower branch:
392
|
2
/ \
98 49
|
2
Now, focus on the branch with 49. To find its prime factor, try dividing it by the smallest prime number again, which is 7. 49 divided by 7 equals 7. Write "7" on a lower branch:
392
|
2
/ \
98 49
| |
2 7
Since both branches now end with prime numbers, you have finished constructing the factor tree for 392.