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It can have up to 5 digits.

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Q: When you multiply a 3 digit number by a 2 digit number what is the greatest number of digits the product can have?

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Just multiply one pair of your numbers to give you a product, and then multiply their product by your third number.

24

2

32.

You will get the greatest product if you choose the greatest possible numbers in both cases, i.e., 9 x 99.

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Just multiply one pair of your numbers to give you a product, and then multiply their product by your third number.

222

24

98

Six.

2

32.

-- The greatest number you can write with those digits is 8,633 . -- If you're going to multiply them, then the order in which you put them makes no difference. The results of every multiplication will all be the same, regardless of their sequence ... just as the results would be if you add them.

98,901

Try the different numbers - there are only 11 after all - and multiply their digits. Or analyze the factors of the number 21.

You will get the greatest product if you choose the greatest possible numbers in both cases, i.e., 9 x 99.

no, it matters with the number not digits