The product of 40 odd numbers is
Even
O
Odd
O
625
Answers
Answer:
Even
Step-by-step explanation:
product of two odd numbers is even
product of even numbers of odd number is even
Given : Product of 40 odd numbers
To Find : Product is Odd or Even
Solution:
Odd Number * Odd number = Odd number
odd number * even number = Even Number
Even number * even number = Even Number
odd number = 2a + 1 even Number = 2b
odd * odd = (2a + 1) ( (2b + 1)
= 4ab + 2a + 2b + 1
= 2(ab + a + b) + 1
= 2k + 1
= Odd
odd * even
(2a + 1)(2b)
= 2( 2ab + b)
= 2k
= Even
Even * Even
= (2a)(2b)
= 2(2ab)
= 2k
= Even
Product of any two odd numbers is odd
Hence product of 40 odd numbers is ODD
Learn More:
https://brainly.in/question/9428100
If the product of an odd number odd integers is of the form 4n + 1 ...
(i) an odd number
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