Unit's Digit

Number Theory Level 3

The unit's digit of the product : $3^{1001}$ × $7^{1002}$ × $13^{1003}$ is

3 1 9 7

1 solution

Naren Bhandari
May 10, 2018

The unit digit of $3^{1001}$ is $7$ , $7^{1002}$ is $9$ and that of $13^{1003}$ is $7$ . The unit digit of $3^{1001}\cdot 7^{1002} \cdot 13^{1003} = 3\cdot 9\cdot 7 =18{\color{#3D99F6} 9}$ is $9$ .

Unit's Digit

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