What is the remainder when

85 × 87 × 89 × 91 × 95 × 96 is divided by 100?

Question

What is the remainder when

85 × 87 × 89 × 91 × 95 × 96 is divided by 100?

Accepted Answer

To find the remainder when the product is divided by 100, we need to check if the product is divisible by 100.
100 can be factored as 4 x 25.

Let's examine the factors of the numbers in the product:
1.  85 contains a factor of 5 (85 = 5 x 17).
2.  95 contains another factor of 5 (95 = 5 x 19).
    So, from 85 and 95, we have 5 x 5 = 25 as a factor in the product.
3.  96 contains a factor of 4 (96 = 4 x 24).

Since the product contains 25 (from 85 and 95) and 4 (from 96) as factors, it means the entire product is divisible by 25 x 4 = 100.

When a number is completely divisible by another number, the remainder is 0.

Therefore, the remainder when 85 x 87 x 89 x 91 x 95 x 96 is divided by 100 is 0.

The final answer is A) 0.

Answer

0

Answer

1

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2

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4

What is the remainder when 85 × 87 × 89 × 91 × 95 × 96 is divided by 100?

Explanation

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