phammann1
phammann1 phammann1
  • 11-09-2020
  • Mathematics
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If A is an odd integer and B is an odd integer, is A*B sometimes, always, or never odd? Explain

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MathPhys
MathPhys MathPhys
  • 11-09-2020

Answer:

Always

Step-by-step explanation:

In order for an integer to be even, one of the factors must be 2.  Otherwise, it is odd.

If A is an odd number, it does not have a factor of 2.

If B is an odd number, it also does not have a factor of 2.

Therefore, AB also does not have a factor of 2, so it is always odd.

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