perplexus.info :: Numbers : Multiple of Square is a Number Repeated Twice

Multiple of Square is a Number Repeated Twice (Posted on 2023-12-13)

In this alphametic each of J,R, and M represents a different digit from 0 to 9.
• N is a positive integer.
• None of the numbers can correspond to a leading zero.

          N*JRM*JRM = JRMJRM

See The Solution Submitted by K Sengupta

Rating: 4.5000 (2 votes)

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solution

| Comment 1 of 2

JRMJRM = 1001 * JRM

1001 = 7 * 11 * 13

The only way to get a 3-digit number from these factors is 11 * 13 = 143.

7 * 143 * 143 = 143143

Posted by Larry on 2023-12-13 07:37:21

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