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Answer: 36
When two numbers are multiplied, the units digit of the product is always the same as the units digit of the product of the units digits. Click below to see why.
last digit of number | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
---|---|---|---|---|---|---|---|---|---|---|
last digit of square | 0 | 1 | 4 | 9 | 6 | 5 | 6 | 9 | 4 | 1 |
last digit of cube | 0 | 1 | 8 | 7 | 4 | 5 | 6 | 3 | 2 | 9 |
Numbers ending in 0, 1, 5 or 6
There are 9 two-digit numbers ending in each digit (e.g. 10, 20, 30, ..., 90)
That gives a total of 36 numbers.