<h3>
Answer: 2*2*2*2*5</h3>
We have four copies of '2' and one copy of '5' multiplied together
This is the same as saying 2^4*5
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Explanation:
Divide 80 over the smallest prime factor, which is 2
80/2 = 40
Divide that result over 2
40/2 = 20
Keep going until you cannot divide by 2 anymore
20/2 = 10
10/2 = 5
We stop here because 5/2 isn't a whole number. We also stop here since 5 is prime. Circle all the primes that show up and you should have four copies of 2 and one copy of 5.
Therefore: 2*2*2*2*5 = 80
In shorthand, this condenses to 2^4*5 = 80
The factor tree is shown below. Other factor trees are possible.
Sub
solve for 1 variable
solve for x in seond eqution
divide everybody by 2
x+2y=8
minus 2y
x=8-2y
sub 8-2y for x in other equation
3(8-2y)-2y=12
24-6y-2y=12
24-8y=12
minus 24
-8y=-12
divide -8 both sides
y=3/2
sub
x=8-2y
x=8-2(3/2)
x=8-3
x=5
(5,3/2)