AI Tutor
What if someone asked you to solve 14×514 \times 5 in your head in just three seconds?
It sounds tough, but there is a secret math trick: you can break big numbers into smaller building blocks called factors.
A factor is a number that multiplies with another number to make a total, like how 22 and 77 are factors of 1414 because 2×7=142 \times 7 = 14.
How does splitting a number make multiplying easier? Let's pair up the factors to make friendly numbers.

Making a Friendly Ten

When you multiply numbers together, you can group them in any order you like without changing the answer.
Instead of doing 14×514 \times 5, we rewrite 1414 as 7×27 \times 2, turning the problem into (7×2)×5(7 \times 2) \times 5.
Pairing the 22 with the 55 gives us a friendly 1010.
Now the question is just 7×107 \times 10, which gives us 7070 in an instant!
What if there is no 55 in the problem to make a ten? Can we still use factors to multiply fast?

The Double-Double Trick