The number of multiples of a given number is finite. True or false? Why?

True

No worries! We‘ve got your back. Try BYJU‘S free classes today!

False

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is B False
The number of multiples of a given number is finite is a false statement. The number of multiples of a given number is infinite.
Examples:
Multiples of $2 = 2, 4, 6, 8, 10, \dots . .$
Multiples of $3 = 3, 6, 9, 12, 15, 18, \dots$
Multiples of $4 = 4, 8, 12, 16, 120, 24 \dots .$
$∴$ The number of multiples of a given number is not finite number.

Suggest Corrections

Similar questions

A set of natural numbers multiples of 7 less than 100 is finite or not.

Question 77

In the following question, state whether the given statement is true (T) or false (F).
Every number is a multiple of itself.

Question 64
In the following question, state whether the given statement is true (T) or false (F).

Natural numbers are not closed under multiplication.

Question 76

In the following question, state whether the given statements are true (T) or false (F).
The number of multiples of a given number is finite.

Write true or false for the given statement:

The number of factors for the given number is finite.

Join BYJU'S Learning Program