What are the common multiples? If a number is divisible by 16, which numbers will definitely be a factor of that number? [3 MARKS]

Open in App

Solution

Definition: 1 Mark
Steps: 1 Mark
Solution: 1 Mark

A Common Multiple is a number that is a multiple of two or more numbers.
We can find all the factors of 16, as shown below.
16=1 $\times$ 16
16=2 $\times$ 8
16=4 $\times$ 4

Since the number is divisible by 16, it will also be divisible by its factor i.e. 1, 2, 4, 8, 16.
So, clearly, the number which is divisible by 16, will also be divisible by 1, 2, 4, 8.

Suggest Corrections

Similar questions

Find the smallest number which is divisible by the first four prime numbers. What is the highest common factor of the first four prime numbers? [3 MARKS]

Q. A number is divisible by both 7 and 16. By which other number will that number be always divisible?

Q. Study the given statements carefully. State

T

for true and

F

for false and select the correct option.

(i)

If a number is a factor of each of the given two numbers, then it must be a factor of their difference.

(i i)

If a number is divisible by another number, then it must be divisible by each of the factors of that number.

(i i i)

If a number is divisible by another number, then it is also divisible by all the multiples of that number.

(i v)

No prime number other than

2

is even but every odd number is necessarily a prime number.

Akashi was playing with the numbers. She found that a number is divisible by both 7 and 12.

Which is the least number of which both of these will be divisible? [3 MARKS]

Q. A number is divisible by 24. By what other numbers will that number be divisible?

Join BYJU'S Learning Program