Question

What is the remainder when 1714x1715x 1717 is divided by 12​

Answer 1

Answer:

Thanks for free points

Step-by-step explanation:

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Answer 2

Answer:

The remainder is 2.

Step-by-step explanation:

Given number is

$1714 \times 1715 \times 1717$

Now

$(1714 \times 1715 \times 1717) \div 12$

$1714 \div 12 = 142 \times 12 + 10 \\ 1715 \div 12 = 142 \times 12 + 11 \\ 1717 \div 12 = 143 \times 12 + 1$

Thus

$x = 1714 \times 1715 \times 1717$

$(1714 \div 12 = 142 \times 12 + 10 \times (1715 \div 12 = 142 \times 12 + 11) \times (1717 \div 12 = 143 \times 12 + 1)$

The product all terms excep last term = 10x11x1 = 110 will have 12

Thus x can be written as

$x = 12q + 110 = 12q + 9 \times 12 + 2 = 12(q + 9) + 2$     [q ⇒ Quotient]

Thus remainder is 2.