Puzzles
14 December
153 is 3375. The last 3 digits of 153 are 375.
What are the last 3 digits of 151234567890?
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We can look at the first few powers and look for a pattern:
n | 15n | Last 3 digits of 15n |
1 | 15 | 15 |
2 | 225 | 225 |
3 | 3375 | 375 |
4 | 50625 | 625 |
5 | 759375 | 375 |
6 | 11390625 | 625 |
7 | 170859375 | 375 |
8 | 2562890625 | 625 |
9 | 38443359375 | 375 |
If n is even (and > 2), the last two digits of 15n are 625.