15) The one's digit of the cube
of the number 242 is
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Answer:
The one's digit of the cube of the number 242 is 8.
Step-by-step explanation:
Last digit of 242 is 2
Now, observe the last digits of the powers of 2.
Power of 2 --> Value --> Last digit
1 --> 2 --> 2
2 --> 4 --> 4
3 --> 8 --> 8
4 --> 16 --> 6
5 --> 32 --> 2
This cycle continues.
In general, it can be said that the last digit of 2 raised to the power of a number of the form:
(i) 4k is 6
(ii) 4k + 1 is 2
(iii) 4k + 2 is 4
(iv) 4k + 3 is 8
3 = 4(0) + 3
So, last digit of 242 cubed is 8.
VERIFICATION: 242^3 = 14172488
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