Digits in Product

Let P equal the product of 3,659,893,456,789,325,678 and 342,973,489,379,256. The number of digits in P is:

  1. 36
  2. 35
  3. 34
  4. 33
  5. 32


Show/Hide Solution

The number of digits will be the same as the number of digits in the product of 3659 followed by numerous zeroes and 3429 followed by numerous zeroes. These numbers are 3659 x 1015 and 3429 x 1011. Since 3659 x 3429 = 12,546,711, the complete product is 12,546,711 x 1026. We count the digits and find that there are 34 of them. The answer is (c).

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