# Check whether 6^{n} can end with the digit 0 for any natural number n

**Solution:**

If any number ends with the digit 0 that means it should be divisible by 5. That is, if 6^{n} ends with the digit 0, then the prime factorisation of 6^{n} would contain the prime 5.

Prime factors of 6^{n} = (2 × 3)^{n} = (2)^{n }× (3)^{n}

You can observe clearly, 5 is not in the prime factors of 6^{n}. That means 6^{n} will not be divisible by 5

Therefore, 6^{n} cannot end with the digit 0 for any natural number n

**Video Solution:**

## Check whether 6^{n} can end with the digit 0 for any natural number n

### NCERT Solutions Class 10 Maths Chapter 1 Exercise 1.2 Question 5 - Chapter 1 Exercise 1.2 Question 5:

Check whether 6^{n} can end with the digit 0 for any natural number n

The number 6^{n} cannot end with the digit 0 for any natural number n