Can the number (15)^n, n being a natural number, end with the digit 0? Give reason.... | VSA 2m | Maths | SuperPadhai

Real Numbers > Question

VSA2 marksYear: 2024EasyCBSE Class 10

real-numbersfundamental-theorem-of-arithmeticprime-factorization

Question

Can the number

(15)^{n}

,

n

being a natural number, end with the digit

0

? Give reason.

Solution

1

1 5^{n} = 5^{n} \times 3^{n}

+1 mark

2

A number ends with zero if it has both prime factors

2

and

5

. Since

1 5^{n}

does not have

2

as a prime factor, it can't end with zero.

+1 mark

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