Math, asked by mamtadeol19, 10 months ago

check whether 7^n can end with the digit 0 for any natural no. 'n'

Answers

Answered by Anonymous
6

___________hlo___________

No 7n cannot end with the digit zero if n is a natural number because 0 is not a natural number and if we put n as 0 then it would not follow the question.

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Answered by siddhartharao77
15

Step-by-step explanation:

Let us take the example of a number which ends with digits 0.

10 = 2 * 5

100 = 2 * 2 * 5 * 5

Here,

Numbers ending with 0 has both 2 and 5 as their prime factors.

Whereas 7ⁿ = (7 * 1)ⁿ

Does not have 2 and 5 as prime factor.

So, it does not ends with zero.

Therefore, 7ⁿ cannot end with 0 for any natural number n.

Hope it helps!


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