The anticipated answer is probably 52.
First, find all the (one-digit) factors of 10:
1, 2, 5 (and 10, which doesn't count).
Because the answer is required to be even, the last digit is going to be "2".
To make the product equal to 10, we need to multiply by 10/2 = 5.
So, 52 works (5 x 2 = 10). But technically, so does 152, 512, 1152, etc...
It is 0.
52
The number is 222.
To find the last but one digit in the product of the first 75 even natural numbers, we need to consider the units digit of each number. Since we are multiplying even numbers, the product will end in 0. Therefore, the last but one digit (tens digit) will depend on the multiplication of the tens digits of the numbers. The tens digit will be determined by the pattern of the tens digits of the even numbers being multiplied.
6 x 10^10
The first 2 digit integer is 10. This is an even number and is therefore the answer.
3.94 x 10^-6
5 x 10^-9
24
362,880 edit: 3,628,800 edit: Sorry, Whizkid. You included '10', whereas the question clearly stated "single-digit numbers". Now that we think about it, the "10 single digit numbers" must include zero, so the product is zero. But for the digits 1 thru 9, the product is still 362,880 .
To find the fraction of 4-digit natural numbers with a product of their digits that is even, we first need to determine the total number of 4-digit natural numbers. There are 9000 such numbers (from 1000 to 9999). Next, we consider the conditions for the product of digits to be even. For a number to have an even product of digits, at least one of the digits must be even. There are 5 even digits (0, 2, 4, 6, 8) and 5 odd digits (1, 3, 5, 7, 9). Therefore, the fraction of 4-digit natural numbers with an even product of digits is 5/10 * 9/10 * 9/10 * 9/10 = 3645/9000 = 809/2000.
10 because 10 is the first 2 digit number out of all numbers.