Show that (12)^n cannot end with digit 0 or 5 for any natural number n.... | LA 4m | Maths | SuperPadhai

Real Numbers > Question

LA4 marksYear: 2020MediumCBSE Class 10

real-numbersprime-factorisationproof

Question

Show that

(12)^{n}

cannot end with digit 0 or 5 for any natural number

n

.

Solution

1

1 2^{n} = (2^{2} \times 3)^{n} = 2^{2 n} \times 3^{n}

+2 marks

2

Since there is no factor of the form

5^{n}

, therefore

1 2^{n}

can not end with digit 0 or 5 for any natural number

n

+2 marks

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