Question

the product of the predecessor and successor of an even natural number is

Answer 1

Always odd natural number

Answer 2

Answer:

The product of the predecessor and successor of an even natural number is an odd number.

Step-by-step explanation:

• Predecessor of a number means its before number.
• Successor of a number means its after number.
• The Predecessor of an even natural number is an odd number.
• The Successor of an even natural number is an odd number.
• So the product of the Predecessor and Successor of an even number means the product of two odd numbers.
• The product of two odd number is an odd number.

Example:

• Let an even natural number is 4. Then its predecessor is 3 and successor is 5.
• The product 3 and 5 is 15 which is an odd number.

So, the product of the predecessor and successor of an even natural number is an odd number.