Prime Factorization

Q. Find all the prime factors of 1729 and arrange them in ascending order. Now state the relation, if any, between, two consecutive prime numbers.
[2 marks]

Q.

What do you mean by prime factorization?

1. Writing a number as a multiplication of any other number.

2. Writing a number as a multiplication of only prime factors.

3. Writing a number as a sum of any other numbers.

4. Writing a number as a sum of only prime factors.

Q. Which of the following represents the prime factorisation of 60?

1. 2 x 2 x 5

2. 2 x 2 x 3 x 5

3. 2 x 2 x 3

4. 2 x 2 x 3 x 5 x 5

Q.

Choose the correct option.

1. 162= 2×3×3×3×3×7

2. 625=5×5×5×5×5

3. 72 = 2×2×2×3×3×3

4. 105=3×5×7

Q.

The prime factors of a number is given as 3 × 3 × 11 × 101. Which of the following is correct about the number?

1. It is an even number.

2. It is the smallest 4 digit odd number.

3. The number is 10000.

4. It is the greatest 4 digit number.

Q.

Express 12 as a product of its prime factors.

1. $3\times 4$

2. $2\times 2\times 3$

3. $2\times 4\times 3$

4. $4\times 4$

Q.

If a movie ticket costs Rs 75, how many friends can watch the movie if they have a total of Rs 1500?

1. 20

2. 37

3. 41

4. 15

Q.

How many pizzas do you need to feed 12 people three slices each, if each pizza has six slices?

1. 12 Pizzas

2. 10 Pizzas

3. 6 Pizzas

4. 9 Pizzas

Q. Which of the following is a prime factorization?

1. $20=2\times 10$
2. $14=2\times 7$
3. $64=4^3$
4. $120=2^3\times 15$

Q. Three bells toll together at intervals of 9, 12 and 15 minutes. If they start tolling together now, after how much time will they toll together next?

1. 1 hour
2. 2 hours
3. 4 hours
4. 3 hours