Question

Find the unit digit of the product of prime numbers between 1 and 17 ^17

Answer 1

Question :- Find the unit digit of the product of prime numbers between 1 and 17 ?

Solution :-

we know that,

• A prime number is a positive integer that has exactly two positive integer factors, 1 and itself.

So,

→ Prime numbers between 1 and 17 = 2, 3 , 5, 7, 11 and 13.

Now we have to find unit digit of the product of these prime numbers .

So,

→ 2 * 3 * 5 * 7 * 11 * 13

→ (2 * 5) * (3 * 7 * 11 * 13)

→ 10 * (3 * 7 * 11 * 13)

Now, here as we can see that, we have 10 in the product .

we know that, any number multiply by 10, will always gives 0 as unit digit .

Therefore, we can conclude that,

→ (3 * 7 * 11 * 13) * 10

→ 0 in Last .

Hence, unit digit of the product of prime numbers between 1 and 17 is 0.

Learn more :-

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