Check whether 12^n can end with the digit 0 for any natural number n.... | VSA 2m | Maths | SuperPadhai

Real Numbers > Question

VSA2 marksYear: 2020MediumCBSE Class 10

real-numbersprime-factorizationfundamental-theorem-of-arithmetic

Question

Check whether

1 2^{n}

can end with the digit

0

for any natural number

n

.

Solution

1

Prime factors of

12

are

2 \times 2 \times 3 = 2^{2} \times 3

.

+1 mark

2

Since

5

is not a factor of

12

,

1 2^{n}

cannot end with the digit

0

for any natural number

n

.

+1 mark

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