# Factors of a Number

## Trending Questions

**Q.**

HCF of two numbers is always a factor of their LCM.

- True
- False

**Q.**

If a number is divisible by both 2 and 3, then it is divisible by

5

6

7

8

**Q.**The sum of two consecutive odd numbers is always divisible by:

- 1
- 2
- 4
- All of the above

**Q.**1 is the only number having exactly one factor.

- False
- True

**Q.**

How to calculate HCF and LCM of Fractions

**Q.**

If a number is divisible by two co-prime numbers, then it is also divisible by their

sum

difference

product

quotient

**Q.**

What are the factors of $216$ and $215$?

**Q.**

Can two numbers have 16 as their HCF and 204 as their LCM? Give reason

**Q.**

What do you mean by factors?

**Q.**What fraction of the first 10 natural numbers are prime numbers?

- 2/5
- 1/4
- 1/5
- 2/3

**Q.**

All natural numbers are divisible by 1.

True

False

**Q.**

Find the H.C.F of 24, 32, and 36.

4

2

3

1

**Q.**

If a, b, c and d are distinct prime numbers where a is the smallest prime, then a×b×c×d is

Odd number

Even number

Prime number

1

**Q.**The ratio of two numbers is 3:4 and their HCF is 4. Their LCM is

(a) 12

(b) 16

(c) 24

(d) 48

**Q.**When we divide -144 by -16, we will get -9 as a quotient.

- True
- False

**Q.**

Find Hcf and lcm by using the property

27, 90

145, 232

**Q.**

What is the HCF and LCM of 175, 1225 and 3675 ?

**Q.**

Find the common factors of

$16$ and $18$

**Q.**The common factors of 12 and 20 are 1, 2 and 4. The greatest common factor of them is 4

- True
- False

**Q.**

Using prime factorisation method, find HCF nad LCM of $36$ and $120$.

**Q.**

The difference between the sum of prime numbers from $21$ to $30$ and the sum of composite from $21$ to $30$ is divisible by which of the following numbers?

$3$

$7$

$151$

$17$

**Q.**What are the common factors of 75, 60 and 210?

1, 3, 5 and 15

1, 3, 5, 15 and 25

1, 3, 15 and 25

3, 6 and 15

**Q.**What is the lcm and hcf of 36, 96, 72

**Q.**

A number a has 7 as its smallest prime factor, and another number b has 3 as its smallest prime factor. What is the smallest prime factor of the number a+b?

3

2

7

5

**Q.**

7 consecutive composite numbers less than 100 are:

81, 82, 83, 84, 85, 86, 87

90, 91, 92, 93, 94, 95, 96

65, 67, 68, 69, 70, 71, 72

46, 47, 48, 49, 50, 51, 52

**Q.**

Find at least $10$ pairs of co-primes from the given numbers.

$12,15,27,36,17,25,32,49,111,121,13$.

**Q.**If the HCF of two number is 16 and their product is 3072, then their LCM is

(a) 182

(b) 192

(c) 12

(d) None of these

**Q.**

If a number is divisible by 4, then it must be divisible by 8.

True

False

**Q.**Which of the following is/are common factor of 144 & 169?

- 11
- 48
- 36
- 1

**Q.**

$25$ is an odd number but it is not a prime number

- True
- False