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Question

Write the greatest 4-digit number and express it in terms of its prime factors.

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Solution

The greatest 4-digit number = 9999
Now, 9999 = 3 x 3333
Also, 3 = (1 x 3) and 3333 = (3 x 1111)
1111 can be written as (101 x 11)
Hence, we get the factor tree as below:



Hence, the prime factorization of 9999 is 3×3×11×101.

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