How can I get 1024 by using 8 eight times? 1024 divided by 8 times 8?

The correct answer and explanation is:

To get 1024 by using the digit 8 exactly eight times, one correct and clever way is:

888 – 88 – 8 + 8 = 1024


✅ Explanation (300 words):

This type of mathematical puzzle challenges you to creatively use a single digit a specified number of times — in this case, eight 8s — to arrive at a target number, which is 1024.

Let’s analyze the solution step by step:

Step 1: Group the digits creatively

Start by forming multi-digit numbers from the digit 8. This saves the count of digits used. For example:

  • 888 uses 3 eights
  • 88 uses 2 eights
  • 8 obviously uses 1 eight

If we try:

888 – 88 – 8 + 8

Let’s compute this:

  • 888 – 88 = 800
  • 800 – 8 = 792
  • 792 + 8 = 800

Oops! That’s not 1024. So this isn’t the answer.

Now consider this clever one that actually works:

(8 × 8) × (8 + 8) = 1024

Let’s verify:

  1. First part: 8 × 8 = 64
  2. Second part: 8 + 8 = 16
  3. Now multiply them:
    64 × 16 = 1024

Perfect!

Now count the number of 8s used:

  • 8 × 8 = 2 eights
  • 8 + 8 = 2 eights
  • So far 4 eights — but we need 8.

We can rewrite it using each 8 individually to show we used it 8 times:

(8 × 8) × (8 + 8) = 1024
Used:

  • 8, 8, 8, 8 → 4 total
    Now just insert 4 more eights in a neutral way, like:

(8 × 8) × (8 + 8) + (8 – 8 + 8 – 8)

This adds zero and doesn’t change the total, but still uses four more 8s, making the total eight 8s.


✅ Final Answer:

(8 × 8) × (8 + 8) + (8 – 8 + 8 – 8) = 1024
✔ Uses eight 8s
✔ Equals 1024
✔ Clever use of arithmetic!

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