Prime Factorization Method

Q.

Factors of $675$

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. The largest number which can divide 28 and 42 completely is ___.

1. 2
2. 3
3. 14
4. 7

Q.

The length, breadth and height of a room are $825cm$, $675cm$ and $450cm$ respectively. Find the longest tape which can measure the three dimensions of the room exactly?

Q.

What is the prime factorization of the number $8,788$?

Q.

The prime factorization of a number is given as 3 $\times$ 3$\times$ 11 $\times$101. Which of the following is correct about the number.

1. It is an odd number.

2. It is the highest 4 digit number.

3. Both A & B

4. None of the above

Q.

Complete the factor tree.

1. a = 2,
   b = 5,
   c = 5,
   d = 3 or 2,
   e = 2 or 3
2. a = 3,
   b = 2,
   c = 2,
   d = 5 or 2,
   e = 2 or 5

3. a = 2,
   b = 3,
   c = 3,
   d = 1or 10,
   e = 10 or 1

4. a = 3,
   b = 2,
   c = 3,
   d = 2 or 5,
   e = 5 or 2

Q. LCM of the numbers 40, 48 and 90 is _______ .

1. 720

Q.

Select the option that correctly displays the prime factors of 36.

1. $6\times 6$

2. $2\times 3\times 6$

3. $2\times 2\times 3\times 3$

4. $4\times 3\times 3$

Q. Identify the numbers which are divisible by 5.

1. 56732
2. 3489340
3. 6347945
4. 436429
5. 1024
6. 5325
7. 7230
8. 6780

Q. Choose the factors of 12 from the following.

1. 1
2. 8
3. 2
4. 4
5. 12
6. 3
7. 5
8. 6

Q.

Choose the correct option.

1. 72 = 2×2×2×3×3×3

2. 105=3×5×7

3. 162= 2×3×3×3×3×7

4. 625=5×5×5×5×5