## Trending News

Promoted

# Math problem help.?

What is the Ones digit of 13 raised to 2003 ?

### 2 Answers

Relevance

- MsMathLv 71 decade agoFavorite Answer
Let's look at some powers of 13.

13^0 = 1

13^1 = 13

13^2 = 169

13^3 = 2197

13^4 = 28561

13^5 = 371,293

13^6 = 4,826,809

13^7 = 62,748,517

Look at the ones digits in the above numbers, do you see the pattern?

1, 3, 9, 7, 1, 3, 9, 7, and so on.

Divide 2003 by 4

2003/4 = 500 remainder 3.

So the ones digit will be a 7

- sahsjingLv 71 decade ago
7

--------

Reason:

Since 3^4 = 81, the last digit of 3^4 is 1.

The last digit of 13^4

= the last digit of 3^2003

= the last digit of 3^2000(3^3)

= the last digit of (3^4)^500(3^3)

= the last digit of (3^3)

= 7

- AnswerManLv 41 decade ago
4.719 x 10^955

Overflows most calculators. However,

2003 * Log(3) = 955.67387

Still have questions? Get your answers by asking now.