Question

Find the remainder when 83*85*87*88*91 is divided by 41

Answer 1

83*85*87*88*91 ÷41

so,r is 31

Answer 2

Answer: The remainder is 31.

Step-by-step explanation:

Since,

$\frac{83\times 85\times 87\times 88\times 91}{41}$

The remainder,

In $\frac{83}{41}$ is 2,

In $\frac{85}{41}$ is 3,

In $\frac{87}{41}$ is 5,

In $\frac{88}{41}$ is 6,

And, In $\frac{91}{41}$ is 9,

Since, the remainder when 83×85×87×88×91 is divided by 41 = the remainder when 2×3×5×6×9 is divided by 41

⇒ The remainder when 1620 is divided by 41 = 31.

Hence, the required answer is 31.