# Prime Numbers

## Trending Questions

**Q.**

Which of the following numbers are co-prime:

$18\mathrm{and}35$

$15\mathrm{and}37$

$30\mathrm{and}415$

$17\mathrm{and}168$

$216\mathrm{and}215$

$81\mathrm{and}16$

**Q.**If the difference between two prime numbers is 2, then they are known as

- twin primes
- alternate primes
- additive primes

**Q.**

What is the next number? $2,3,5,7,11,?,17$.

$12$

$13$

$14$

$15$

**Q.**

Express following prime number as the sum of three primes - :

$29=...........+............+............$

**Q.**Explain why 5*7*11*13*17+17 is a composite number

**Q.**The number of distinct primes in the prime factorization of 32760 A. 8 B. 6 C. 13 D. None of these

**Q.**Which of the following is a prime number?

- 42
- 46
- 23
- 26

**Q.**

Express following prime number as the sum of three primes - :

$37=.........+..........+........$

**Q.**

Find the common factors of $56$ and $120$.

**Q.**Explain why 5*7*11*13*17+17 is a composite number

**Q.**

Identify the Theorem:Every composite number can be expressed (factorised) as a product of primes, and this factorisation is unique, apart from the order in which the prime factors occur.

Theorem of factorization

Composite Theorem

Euclid’s Theorem

Fundamental Theorem of Arithmetic

**Q.**54.The sum of three prime numbers is 100. If one of them exceeds another by 36, then find the numbers

**Q.**Every composite number can be factorised as a product of its primes, and this is unique, apart from the order in which the factors occur.

- True
- False

**Q.**It is Samaira's birthday, she has bought chocolates for all her 40 classmates, and each student has been given a position to sit which is labeled from 1 to 40. She has bought two kinds of chocolates, one Dairy Milk and the other Munch. She gives Dairy Milk to those who are at the seats labelled a prime number. How many children will get Dairy Milk chocolates?

11

12

13

21

**Q.**

The sum of prime factors of 4620 is:

28

34

30

32

**Q.**According to Euclid's Division Lemma,

- Remainder = Divisor
- Remainder < Divisor
- Remainder > Divisor

**Q.**According to Euclid's Division Lemma,

- Remainder = Divisor
- Remainder < Divisor
- Remainder > Divisor

**Q.**Every composite number can be factorised as a product of its primes, and this is unique, apart from the order in which the factors occur.

- False
- True

**Q.**check whether 12^n end with the digit 0 or 5 for any natural number N

**Q.**prove that a positive integer n is prime number if no prime p less than or equal to root n divides n

**Q.**

For what least value of n, where n is a natural number :

A.5^n is divisble by 3?

B.24^n is divisible by 8?

C.15^n is divisible by 5?

D.19^n is divisible by 9?

E.18^n is divisible by 6?

**Q.**

The sum of prime factors of 4620 is:

30

28

32

34

**Q.**

An example of twin primes is

$11,13$

$13,15$

$28,29$

$31,33$

**Q.**

The sum of prime factors of 4620 is:

30

28

32

34

**Q.**

Identify the Theorem:Every composite number can be expressed (factorised) as a product of primes, and this factorisation is unique, apart from the order in which the prime factors occur.

Composite Theorem

Euclid’s Theorem

Fundamental Theorem of Arithmetic

Theorem of factorization

**Q.**

All prime numbers are

odd

even

composite

odd except $2$

**Q.**Show that 571 is a prime number.

**Q.**

The sum of prime factors of 4620 is:

30

28

32

34