Table of Contents

## How do you find the prime factorization?

Find the prime factorization of a composite number using the ladder method

- Divide the number by the smallest prime.
- Continue dividing by that prime until it no longer divides evenly.
- Divide by the next prime until it no longer divides evenly.
- Continue until the quotient is a prime.

**What is the prime factorization of 54?**

Answer: The prime factorization of 54 = 2 × 3 × 3 × 3 = 2 × 3.

### What is the prime factorization of 365?

Solution: Since, the prime factors of 365 are 5, 73. Therefore, the product of prime factors = 5 × 73 = 365.

**Is the prime factorization of 350?**

So, the prime factorization of 350 can be written as 21 × 52 × 71 where 2, 5, 7 are prime.

## What is an example of prime factorization?

Prime factorization is a process of factoring a number in terms of prime numbers i.e. the factors will be prime numbers. For example, prime factorising the number 30 we get, 30/2 = 15, 15/3 = 5, 5/5 = 1. …

**What is the prime factorisation of 16?**

Therefore, the factors of 16 are 1, 2, 4, 8, and 16 and the prime factorization of 16 is 16 = 2 × 2 × 2 × 2.

### What is the prime factorisation of 57?

3 and 19

The prime factorization of 57 is the product of prime numbers which results in 57. From the prime factorization of 57, it is clear that 3 and 19 are the prime factors of 57. We know that 1 is the factor of every number. Thus, the factors of 57 by prime factorization are 1, 3, 19, and 57.

**What is the GCF of 54 and 36?**

18

Answer: GCF of 36 and 54 is 18.

## What is the prime factorisation of 128?

Hence, the factors of 128 are 1, 2, 4, 8, 16, 32, 64, and 128….How to Calculate the Factors of 128?

Division | Factor |
---|---|

128/16 | Remainder = 0 Hence, factor = 16 |

128/32 | Remainder = 0 Hence, factor = 32 |

128/64 | Remainder = 0 Hence, factor = 64 |

128/128 | Remainder = 0 Hence, factor = 128 |

**What are the factors of 360?**

The divisors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180 and 360, making a total of 24 divisors.

### What is the LCM of 9 15 and 21?

Answer: LCM of 21, 9, 15 is 315.

**What are the factors of 70?**

Factors of 70

- Factors of 70: 1, 2, 5, 7, 10, 14, 35 and 70.
- Negative Factors of 70: -1, -2, -5, -7, -10, -14, -35 and -70.
- Prime Factors of 70: 2, 5, 7.
- Prime Factorization of 70: 2 × 5 × 7 = 2 × 5 × 7.
- Sum of Factors of 70: 144.