Take any three consecutive odd numbers and find their product

Question

Vedantu Content Team · Accepted Answer

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.

Take any three consecutive odd numbers and find their product

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Take any three consecutive odd numbers and find their product

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