# Prime Factorization

## Trending Questions

**Q.**

Express $429$ as product of its prime number.

**Q.**

Find the prime factorization of $20570$

**Q.**The prime factorization of 450 is

- 2×3×3×5×5
- 2×3×3×7×7
- 2×2×3×3×5

**Q.**

144 expressed as a product of its primes is

2×2×2×2×3×3

2×2×2×2×3×3×3

3×3×3×3×3×3

2×2×2×2×2×2

**Q.**The prime factorization of 350 is

- 2 × 3 × 3 × 5 × 7
- 2 × 5 × 5 × 7
- 2 × 3 × 5 × 7

**Q.**What is the prime factorization of 840?

- 2 × 2 × 2 × 3 × 3 × 7
- 4 × 5 × 6 × 7
- 2 × 3 × 3 × 7 × 7
- 2 × 2× 2 × 3 × 5 × 7

**Q.**

42 and 36 are co-prime numbers.

True

False

**Q.**

Find the prime factorization of $9000$

**Q.**

How many times 3 occurs in prime factorization of 162 ?

- 3
- 2
- 4
- 5

**Q.**

Is $343$ a prime number?

**Q.**

Write the prime factors of $28\mathrm{and}36$ through the division method.

**Q.**What isthe missing number in the factor tree?

- 40
- 45
- 35
- 25

**Q.**2 × 2 ×

- 3×3×3
- 3×3×2
- 3×4×3

**Q.**In which of the following cases, the first number is a factor of the second number?

- 4, 38
- 5, 33
- 6, 52
- 8, 96

**Q.**

To find the prime factors of any given number we divide the number by

odd numbers

even numbers

prime numbers

composite numbers

**Q.**The prime factorisation of 150 isFind the missing number.

- 5
- 6
- 2

**Q.**

What is co-prime number

**Q.**

Find the prime factors of $105.$Arrange the factors in ascending order and find the relation between two consecutive prime factors.

**Q.**Which of the following is the prime factorization of 63?

- 3×21
- 7×9
- 1×63
- 3×3×7

**Q.**Complete the multiplication chart given here.

Look at the green boxes in the chart. These show how we can get 12 by multiplying different numbers.

12 |

4 × 3 6 × 2 1 × 12 |

12 = 4 × 3, so 12 is a multiple of both 4 and 3. 12 is also a multiple of 6 and 2, as well as 12 and 1. We say 1, 2, 3, 4, 6, 12 are factors of 12.

• What are the factors of 10? _________

10 |

5 × 2 _ _ _ |

Can you do this from the chart?

• What are the factors of 36? ________

• Find out all the factors of 36 from the multiplication chart.

• What is the biggest number for which you can find the factors form this chart?

• What can you do for numbers bigger than that?

**Q.**

Write the prime factorisation of each of the following numbers : $441$

**Q.**The prime factorisation of 100 is

Find the missing number.

- 25
- 50
- 100

**Q.**

30 as a product of its prime factors is

2×3×5

3×3×3

2×3×3

2×2×5

**Q.**

Write the greatest $4$ digit number and express it in terms of its prime factors.

**Q.**Which prime factors of 384 are missing?

- 2, 2, 2, 2, 3
- 2, 2, 3, 3, 5
- 1, 2, 3, 5, 9
- 2, 2, 3, 3, 7

**Q.**What are the missing ornaments from the given factor tree?

**Q.**A list consists of the following pairs of numbers:

(i) 51, 53; 55, 57; 59, 61; 63, 65; 67, 69; 71, 73

Categorize them as pairs of:

(i) co-primes

(ii) primes

(iii) composites

**Q.**

Which of the following is a prime number?

- 9
- 13
- 18
- 21

**Q.**

Write the prime factorisation of each of the following numbers : $160$

**Q.**For which of the following numbers, all its digits are its factors?

- 19
- 25
- 35
- 135