A Number Theory problem

What is the unit digit's of 31264x271253?

5 4 9 2 1 3

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2 solutions

Natalia Dcruz
Feb 15, 2018

Multiply the unit digits of each number. If suppose the result is an 2 digit number, check the unit digit of that number.This will be the unit digit of the above product This is true for any 2 natural numbers.Unit digits here are 4 and 3.4*3 = 12. Unit digit is thus 2.

The desired units digit in the problem is the units digit of the product of the units digit of each factor, we have 4 × 3 = 12 4 \times 3 = 12 . So the desired units digit is 2 2 .

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