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The answer is 4.

You get the answer by trying the example of the largest two digit number, 99.

99 x 99 = 9801.

This has four digits, so you can't get more digits than this by multiplying two two digit numbers.

* * * * *

True, but you CAN have fewer: 10*10 = 100, which is only three digits!

1490 of the 8100 2 digit x 2 digit multiples have products of 3 digits, the rest have 4 digit products.

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Q: Give examples to support your answer for How many digits can the product of two 2- digit numbers have?

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4 Give examples to support your answer please.

It can have 4 digits, because the highest possible two digit numbers 99*99=9801.

two

The digits product of two digit has number four

from 3 digits (10x10) to 4 digits (99X99)

67/72 of them.

If you mean, "What is the largest number of digits possible in the product of two 2-digit numbers" then 99 * 99 = 9801, or 4 digits. Anything down to 59 * 17 = 1003 will have 4 digits.

You had me until "product." The product of 4 digits can't be prime.

Zero.

There are two numbers that satisfy the criteria. 38 and 83

It should be obvious (it is, isn't it? am I expecting too much of today's educational system?) that the largest possible result of multiplying two two digit numbers is 99x99 = 9801, which has four digits, and the smallest possible result is 10x10 = 100, which has three digits.

1234, 2637, 7777, 2727 are examples of a four digit number. So any random four numbers are four digits.

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