What is the greatest and least possible product you can make using the digits 1,3,5,6 and 7 in the multiplication problem below? Use each digit only once,

_ _ _ X _ _ = ?

567*13 or 675*31

smallest : 1 x 3567 = 3567

largest: 751 x 64 = 48064

assuming each digit can only be used once.

Mrs Sue could you pls check my question

The greatest product with an 8 in the ones place

To find the greatest and least possible product using the given digits 1, 3, 5, 6, and 7 in the multiplication problem, you need to consider the placement of the digits in the multiplication equation.

Let's start by finding the greatest product:
To obtain the greatest product, you would want to place the largest digit in the leftmost (or first) position of the multiplier (the first blank space in the multiplication problem) and the smallest digit in the rightmost (or last) position.

So, in this case, you would place digit 7 in the first blank space ( _ ) and digit 1 in the second blank space ( _ ). The equation would become:

7 1 _ X _ _ = ?

Now, to find the greatest possible product, you would place the largest possible digit in the remaining blank spaces. The two remaining digits are 3, 5, and 6. You can experiment with different combinations to see which one gives the largest product:

7 1 _ X _ _ = 7 1 _ X 6 3
resulting in 71 X 63 = 4,473

So, the greatest possible product you can make with the given digits is 4,473.

Next, let's find the least possible product:
To obtain the least product, you would want to place the smallest digit in the leftmost (or first) position of the multiplier (the first blank space in the multiplication problem) and the largest digit in the rightmost (or last) position.

So, in this case, you would place digit 1 in the first blank space ( _ ) and digit 7 in the second blank space ( _ ). The equation would become:

1 7 _ X _ _ = ?

Now, to find the least possible product, you would place the remaining digit in the remaining blank spaces. The three remaining digits are 3, 5, and 6. Again, you can experiment with different combinations to see which one gives the smallest product:

1 7 _ X _ _ = 1 7 _ X 5 3
resulting in 17 X 53 = 901

So, the least possible product you can make with the given digits is 901.