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Examples thinking about multiplying even and odd numbers

May 23, 2019
by
Khan Academy
YouTube video player
Examples thinking about multiplying even and odd numbers

TL;DR

Multiplying two even numbers or an even number with an odd number will result in an even product.

Transcript

  • [Instructor] We are told Liam multiplies two numbers and gets an even product. What could be true about the numbers Liam multiplied? It says Choose 2 answers. So pause this video and see if you can figure out which two of these could be true. All right, now let's do this together. And we have to think about what could be true. They don't have to ... Read More

Key Insights

  • ✖️ Multiplying two even numbers always results in an even product.
  • 🦕 Multiplying two odd numbers always results in an odd product.
  • #️⃣ Multiplying an even number by an odd number also yields an even product.
  • #️⃣ An odd number multiplied by an even number gives an even product.
  • 🦕 The product of an even and odd number is always even.
  • 🦕 Knowing the individual even or odd properties of the numbers being multiplied helps determine the resulting product.
  • 🦕 The product of an odd number and an odd number is always odd.

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Questions & Answers

Q: Can you multiply two even numbers and get an even product?

Yes, when you multiply two even numbers together, the product will always be even. For example, 2 times 4 equals 8.

Q: Is it possible to multiply two odd numbers and get an even product?

No, it is not possible to multiply two odd numbers and get an even product. When you multiply odd numbers together, the product will always be odd.

Q: What happens when you multiply an even number and an odd number?

When you multiply an even number and an odd number, the product will be even. For example, 2 times 3 equals 6.

Q: What is the result of multiplying 8 and 5?

Multiplying 8 and 5 will give you an even product. 8 times 5 equals 40, which is an even number.

Q: What type of product do you get when multiplying an odd number by an even number?

When you multiply an odd number by an even number, the product will be even. This is because any even number multiplied by any number (even or odd) will always give an even product.

Summary & Key Takeaways

  • When multiplying two even numbers, the product will always be even.

  • Multiplying an odd number with an odd number will result in an odd product.

  • An even number multiplied by an odd number will also yield an even product.


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