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Units digit questions in large multiplication focus on tracking only the units digit of each term and carrying forward just that digit through the multiplication. You isolate the last digit at every step, multiply only those units digits, and ignore the remaining value since it does not affect the final outcome. This method brings clarity and efficiency to this specific GRE Quant question type. The following video, part of the GRE prep course by Experts’ Global, explains this idea in a clear, structured, and practical manner and shows how to apply the method across GRE-style problems involving large products.

To find the last digit of a product, you do not need to multiply the entire numbers. Instead, you only need to multiply the digits located in the units places.
This concept can be simplified across different levels of the calculation:
Because 2 x 3 = 6, the last digit of 112 x 113 is 6.

To find the last digit of a large product, you only need to focus on the last digits of each individual number.
For the expression: 343 x 536 x 6742 x 753 x 879 x 545 x 787
You can determine the final digit by multiplying the units digits of each number in sequence: 3 x 6 x 2 x 3 x 9 x 5 x 7
The final answer for the last digit is 0.
A faster way to solve this is to look for specific pairs. If the set of numbers contains both a ‘2’ and a ‘5’ as last digits, their product will result in a ‘0’.
Once a 0 appears as a last digit in a multiplication chain, the final digit for the entire product will inevitably be 0.

For a detailed explanation of this question, please refer to the video presented earlier on this page.
To find the last digit of a multiplication product, you only need to multiply the last digits of each number in the sequence. If a product results in a two-digit number, you only carry forward its last digit to the next multiplication.
324 x 537 x 4356 x 563 x 642 x 798
Correct Answer: 4
528 x 797 x 534 x 989 x 757 x 643
Correct Answer: 6
393 x 435 x 367 x 899 x 6357 x 844
Correct Answer: 0
893 x 437 x 5671 x 899 x 6353
Correct Answer: 7
797 x 434 x 567 x 897 x 6352
Correct Answer: 4
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