What times what equals 13
The Correct Answer and Explanation is :
The correct answer is: 1 and 13
To solve for two numbers that multiply together to give 13, you need to explore the factors of 13. In this case, 13 is a prime number, which means it can only be divided evenly by 1 and itself. Therefore, the two numbers that multiply to equal 13 are:
[
1 \times 13 = 13
]
Why 13 is a Prime Number
Prime numbers are numbers greater than 1 that have no divisors other than 1 and themselves. In other words, you can’t break down 13 into smaller factors besides 1 and 13. Examples of other prime numbers include 2, 3, 5, 7, 11, 17, etc.
Explaining the Equation
The simplest multiplication that results in 13 is multiplying 1 by 13. This equation holds true because of the multiplicative identity property of mathematics, which states that any number multiplied by 1 remains unchanged. Thus:
[
1 \times 13 = 13
]
Similarly, you could reverse the factors, meaning:
[
13 \times 1 = 13
]
The commutative property of multiplication ensures that the order of the numbers doesn’t matter; you’ll get the same product.
Negative Factors
There’s also another way to consider this question: using negative numbers. If you multiply -1 and -13, you also get 13 because two negative numbers multiplied together yield a positive result:
[
-1 \times -13 = 13
]
This is because of the rule in multiplication that two negatives make a positive.
Conclusion
The correct and simplest factors of 13 are 1 and 13, or their negative counterparts, -1 and -13. Since 13 is a prime number, there are no other pairs of integers that satisfy the equation “What times what equals 13?” besides these.