when a two digit no.and a three digit no.are muultiplied, the result is 7777. find the largest three digit no. satsfying this condition
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First part of the solution is to realize that two numbers that multiply together to give 7777 will share in the prime factorization of 7777.
I won’t go into all the details of determining the prime factorization, but it is 7 * 11 * 101. (i.e. all prime numbers, and multiply all of them together gives 7777)
With three prime factors, the only way to get two numbers is one of the factors, and the second number is the other two factors multiplied together, so there are
7 * 1111
11 * 707
101 * 77
2 of these groups are a 2 digit and a 3 digit number (11 * 707, and 77 * 101). The largest 3 digit number there is 707, so that is the answer.
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I won’t go into all the details of determining the prime factorization, but it is 7 * 11 * 101. (i.e. all prime numbers, and multiply all of them together gives 7777)
With three prime factors, the only way to get two numbers is one of the factors, and the second number is the other two factors multiplied together, so there are
7 * 1111
11 * 707
101 * 77
2 of these groups are a 2 digit and a 3 digit number (11 * 707, and 77 * 101). The largest 3 digit number there is 707, so that is the answer.
Please mark brainliest
...............
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