Do I Need To Know Totient Function?

Number Theory Level 1

5 × 5 × 5 × ⋯ × 5 = … 5 \large 5 \times 5 \times 5 \times \cdots \times 5 = \ldots 5

If I multiply 5 by itself any number times, the last digit of the final product always remains unchanged.

What is another single digit integer larger than 1 that share this same property?

2 4 6 8

Pi Han Goh by Pi Han Goh , 30, Malaysia

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1 solution

Sonia Gupta
Jun 7, 2016

6 * 6 = 36

6 * 6 * 6 = 216

In this in every of the multiple of 6 with 6 the last digit will be 6.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

@Pi Han Goh , why the Totient function title though? Is there a solution to that, if there is one, can you please show. Thanks!

Mahdi Raza - 8 months, 2 weeks ago

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The title is just a red herring.

Pi Han Goh - 8 months, 2 weeks ago

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Oh, that's sneaky. I really scrambled my head to find a solution with Totient function.

Mahdi Raza - 8 months, 2 weeks ago

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