what times what equals 91

Natashya

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23-12-2024

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What Times What Equals 91? Finding the Factors of 91

The question "What times what equals 91?" is essentially asking us to find the factors of 91. Factors are numbers that divide evenly into another number without leaving a remainder. Let's explore how to solve this.

Understanding Factors and Prime Factorization

Before diving into the specifics of 91, let's quickly review what factors are. Factors are pairs of numbers that, when multiplied, result in a specific number (in this case, 91). For example, the factors of 12 are 1 and 12, 2 and 6, and 3 and 4.

One useful technique for finding factors is prime factorization. Prime factorization breaks a number down into its prime factors – numbers only divisible by 1 and themselves (e.g., 2, 3, 5, 7, 11, etc.).

Finding the Factors of 91

To find the factors of 91, we can start by trying small prime numbers.

• Is 91 divisible by 2? No, 91 is an odd number.
• Is 91 divisible by 3? No, the sum of its digits (9 + 1 = 10) is not divisible by 3.
• Is 91 divisible by 5? No, it doesn't end in 0 or 5.
• Is 91 divisible by 7? Yes! 91 divided by 7 equals 13.

Therefore, the prime factorization of 91 is 7 x 13. This means that 7 times 13 equals 91.

Other Ways to Find the Answer

While prime factorization is a systematic approach, you can also find the factors through trial and error. You could start by trying small whole numbers and see if any pair multiplies to 91. This method can be time-consuming for larger numbers but works well for smaller ones like 91.

Answering the Question: What times what equals 91?

To summarize, the answer to "What times what equals 91?" is 7 x 13 = 91. These are the only two whole numbers that multiply to 91.

Further Exploration:

Now that you've solved this, you might want to try finding the factors of other numbers. This exercise helps improve your number sense and understanding of mathematical concepts. Try finding the factors of numbers like 144, 252, or even larger numbers to challenge yourself further.