Answer:
N = 7
Step-by-step explanation:
1 ⋅ 2 ⋅ 3 ⋅ 4 ⋅ 5 ⋅ 6 ⋅ 7 = 8 ⋅ 9 ⋅ 10 × N
Multiply 1 and 2 to get 2.
2 × 3 × 4 × 5 × 6 × 7 = 8 × 9 × 10N
Multiply 2 and 3 to get 6.
6 × 4 × 5 × 6 × 7 = 8 × 9 × 10N
Multiply 6 and 4 to get 24.
24 × 5 × 6 × 7 = 8 × 9 × 10N
Multiply 24 and 5 to get 120.
120 × 6 × 7 = 8 × 9 × 10N
Multiply 120 and 6 to get 720.
720 × 7 = 8 × 9 × 10N
Multiply 720 and 7 to get 5040.
5040 = 8 × 9 × 10N
Multiply 8 and 9 to get 72.
5040 = 72 × 10N
Multiply 72 and 10 to get 720.
5040 = 720N
Swap sides so that all variable terms are on the left hand side.
720N = 5040
Divide both sides by 720.
N= [tex]\frac{5040}{720}[/tex]
Divide 5040 by 720 to get 7.
N = 7
Hope I was able to help. =D
Have a good night!
