Prime Factorization Practice
Complete this assessment to review what you’ve learned. It will not count toward your grade.
5 of 55 of 5 Items
Question
Complete the factor tree with whole numbers to create a factor tree for 72. (2 points)
The factor tree for 72 can be completed as follows:
72
/ \
2 36
/ \
2 18
/ \
2 9
/ \
3 3
can you explain this easier
Sure!
To create a factor tree for 72, we start by finding two numbers that multiply to give 72. The factors of 72 are 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.
Let's start with the number 2. We know that 2 is a factor of 72 because 2 multiplied by 36 gives 72.
Now we look at 36. We repeat the same process and find that 2 is also a factor of 36, because 2 multiplied by 18 gives 36.
Continuing this process with 18, we find that 2 is once again a factor of 18, because 2 multiplied by 9 gives 18.
Lastly, for the number 9, we find that the only factor is 3, because 3 multiplied by 3 gives 9.
Therefore, the factor tree for 72 would look like this:
72
/ \
2 36
/ \
2 18
/ \
2 9
/ \
3 3