what times what equals 67

less than a minute read 26-12-2024

What Times What Equals 67? Finding the Factors of 67

The question "What times what equals 67?" is essentially asking for the factors of 67. Factors are numbers that divide evenly into another number without leaving a remainder. Let's explore how to find the factors of 67 and understand why this particular number has a unique characteristic.

Understanding Factors and Prime Numbers

Before diving into the specific factors of 67, let's refresh our understanding of factors. Factors are the numbers that you can multiply together to get a specific number. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12 (because 1x12, 2x6, and 3x4 all equal 12).

Some numbers, like 67, are known as prime numbers. A prime number is a whole number greater than 1 that has only two factors: 1 and itself. This means it's only divisible by 1 and itself without leaving a remainder.

Finding the Factors of 67

Now, let's focus on 67. To find its factors, we can start by trying to divide 67 by small whole numbers. We'll quickly find that:

67 divided by 1 equals 67
67 divided by 2 leaves a remainder
67 divided by 3 leaves a remainder
...and so on.

We'll discover that the only whole numbers that divide evenly into 67 are 1 and 67. Therefore, the only factors of 67 are 1 and 67. This confirms that 67 is a prime number.

The Answer: 1 x 67 = 67

So, to answer the original question, "What times what equals 67?", the only whole number solution is 1 multiplied by 67. There are no other whole number pairs that multiply to 67.

Exploring Beyond Whole Numbers

It's important to note that if we expand our search beyond whole numbers, we could find other pairs that equal 67 when multiplied. For example, we could use decimals or fractions. However, the question implied a search for whole number factors.

Conclusion: 67 – A Prime Example

The number 67 serves as a perfect example of a prime number. Understanding prime numbers and their unique properties is crucial in various areas of mathematics. The fact that only 1 and itself multiply to equal 67 highlights its prime nature.

what times what equals 67