Questions & Answers

Take any three consecutive odd numbers and find their product

Answer Verified Verified
Hint: In the number system numbers are divided as odd and even numbers. Now, let us take three consecutive odd numbers and multiply it.

Complete step-by-step answer:
Natural Numbers: Counting numbers are called Natural Numbers.
Examples: 1, 2, 3, 4, etc.
Whole numbers: The natural numbers including 0 are called Whole Numbers.
Examples: 0, 1, 2, 3, etc.
Integers: The whole numbers including negative numbers are called Integers.
Examples: -1,-2, -3, 0, 1, 2, 3 etc.
Actually the number system is divided into two types
Even Numbers.
Odd Numbers.
Even Numbers: The numbers which are divisible by 2.
Examples: 2, 4, 6, etc.
Odd Numbers: The numbers which are not divisible by 2.
Examples: 1, 3, 5 etc.
Consecutive Odd Numbers: The odd numbers that are one after another it means;
Examples: \[\left( {1,3,5} \right)\]\[\left( {5,7,9} \right)\]\[\left( {11,13,15} \right)\] etc.
Let us take three consecutive odd numbers
\[\left( {5,7,9} \right)\]
Now multiply it,
Product of three consecutive odd numbers \[ = 5 \times 7 \times 9 = 315\]

Note: In such types of problems remind the whole number system and proceed with the given question. Remember the difference between even numbers and odd numbers.
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