What times what equals 64

General
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what times what equals 64

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What times what equals 64?

Answer:

If we are looking for two numbers whose product is 64, we have several pairs of factors we can consider. Here’s a comprehensive breakdown of the pairs of numbers (factors) that when multiplied together result in 64:

Positive Factors:

These are pairs of positive integers:

  1. 1 \times 64 = 64
  2. 2 \times 32 = 64
  3. 4 \times 16 = 64
  4. 8 \times 8 = 64

Negative Factors:

These are pairs of negative integers. When two negative numbers are multiplied, the result is positive.

  1. -1 \times -64 = 64
  2. -2 \times -32 = 64
  3. -4 \times -16 = 64
  4. -8 \times -8 = 64

Fractional/Non-integer Values:

Although typically factors are considered as integers, theoretically, any two numbers whose product results in 64 work. Here are some examples:

  1. 0.5 \times 128 = 64
  2. 0.25 \times 256 = 64

Mathematical Justification:

To confirm, let’s consider the multiplication property of numbers. Any number ( a ) and ( b ) such that ( a \times b = 64 ) can be considered, provided it’s true under the multiplication operation.

General Conclusion:

Whether working with positive factors, negative factors, or even fractional non-integer values, any pair of numbers that multiply to yield 64 can be said to fulfill the condition of “what times what equals 64.” Therefore, a common pair among elementary factors would be:

8 \times 8 = 64

This illustrates the versatility and the fundamental nature of factor pairs for any given number.