What times what is 52?

Understand the Problem

The question is asking us to find two numbers that, when multiplied together, equal 52. This is a basic multiplication problem.

Answer

The two numbers that multiply to equal 52 are 1 and 52, 2 and 26, 4 and 13.

Steps to Solve

Set up the equation

We need two numbers whose product equals 52. We can represent these numbers as $x$ and $y$. Thus, we can write the equation:

$$ x \times y = 52 $$

Find factor pairs of 52

Next, we should find pairs of integers that multiply to give 52. The possible factor pairs are:

(1, 52)
(2, 26)
(4, 13)

Test each pair

We can check each pair to see if they satisfy the equation. For example:

For the pair (1, 52):
$$ 1 \times 52 = 52 $$
For the pair (2, 26):
$$ 2 \times 26 = 52 $$
For the pair (4, 13):
$$ 4 \times 13 = 52 $$

Each pair satisfies the equation.

List the solutions

The numbers that multiply to give 52 are:

1 and 52
2 and 26
4 and 13

The two numbers that multiply together to equal 52 are:

1 and 52, 2 and 26, 4 and 13.

More Information

The number 52 has multiple factor pairs, which allows for different sets of whole numbers that can multiply to it. This demonstrates basic principles of multiplication and factors in mathematics.

Tips

Assuming there is only one pair: Many might think there is only one pair of numbers, but 52 can be expressed as a product of multiple factor pairs.
Not considering negative factors: It's also crucial to realize that negative factor pairs such as (-1, -52) or (-2, -26) mathematically work but might be overlooked.

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