what times what equals 90

2 min read 10-03-2025

So, you're wondering, "What times what equals 90?" This seemingly simple question opens the door to exploring the fascinating world of factors and multiplication. Let's dive in and find all the possible answers!

Understanding Factors

Before we find the numbers that multiply to 90, let's define what factors are. Factors are numbers that divide evenly into another number without leaving a remainder. In other words, if you multiply two or more factors together, you get the original number.

Pairs of Numbers that Equal 90

Now, let's find those pairs! Here are all the pairs of whole numbers that multiply to 90:

1 x 90
2 x 45
3 x 30
5 x 18
6 x 15
9 x 10

As you can see, there are several different pairs of numbers that, when multiplied, result in 90. This demonstrates that many different combinations can lead to the same product.

Finding Factors: A Systematic Approach

How did we find all these pairs? One effective method is to systematically work through the numbers, starting with 1 and checking each one. For example:

Start with 1: 1 x 90 = 90
Try 2: 2 x 45 = 90
Try 3: 3 x 30 = 90
Continue this process, checking each number to see if it divides evenly into 90.

Beyond Whole Numbers

Our list above only includes whole numbers. But the question "What times what equals 90?" could also include decimal numbers and fractions. For example:

0.5 x 180 = 90
1.5 x 60 = 90
1/2 x 180 = 90

The possibilities are endless when you expand beyond whole numbers.

Applications of Finding Factors

Understanding factors isn't just about solving math problems; it has practical applications in many areas, including:

Geometry: Calculating area and volume often involves finding factors.
Programming: Factorization is used in algorithms and cryptography.
Everyday Life: Dividing tasks or resources evenly often relies on understanding factors.

Conclusion: More Than One Answer!

The question "What times what equals 90?" doesn't have just one answer. There are multiple pairs of numbers, and even more possibilities if we consider decimals and fractions. Exploring this question provides a great way to practice multiplication and deepen your understanding of factors and their importance in mathematics. So next time you encounter a similar question, remember to think systematically and consider all the possibilities!