# How do you find the prime factorization?

## How do you find the prime factorization?

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

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

What is the prime factorization of 45 answer?

We know that all the factors of 45 are 1, 3, 5, 9, 15, and 45. A prime number that is not a composite number is a prime factor. Prime factorization of 45 = 1 × 3 × 3 × 5.

### What is 40’s prime factorization?

So the prime factorization of 40 is 2×2×2×5 which can also be written as 23 × 5 where 2 and 5 are prime numbers.

Is the prime factorization of 47?

So, the prime factorization of 47 is 1 x 47, where 47 is a prime number. We will do this by factor tree.

## What is the Prime Factorization of 50?

So, the prime factors of 50 are 2 × 5 × 5 or 2 × 52, where 2 and 5 are the prime numbers.

What is an example of Prime Factorization?

Prime factorization is defined as a way of finding the prime factors of a number, such that the original number is evenly divisible by these factors. For example, the prime factors of 126 will be 2, 3 and 7 as 2 × 3 × 3 × 7 = 126 and 2, 3, 7 are prime numbers.

### What is the prime factorization of 50?

What is the HCF of 45 and 105?

The hcf of 45 and 105 is 15 .

## What is the GCF of 27 and 45?

9
GCF of 27 and 45 by Listing Common Factors Therefore, the greatest common factor of 27 and 45 is 9.

What is the HCF of 40 and 50?

10
GCF of 40 and 50 by Listing Common Factors There are 4 common factors of 40 and 50, that are 1, 2, 10, and 5. Therefore, the greatest common factor of 40 and 50 is 10.

### How many factors does 46 have?

4 factors
Factors of 46 are integers that can be divided evenly into 46. It has a total of 4 factors of which 46 is the biggest factor and the positive factors of 46 are 1, 2, 23 and 46. The sum of all factors of 46 is 72. Its Prime Factors are 1, 2, 23, 46 and (1, 46) and (2, 23) are Pair Factors.

Is 47 divisible by any number?

When we list them out like this it’s easy to see that the numbers which 47 is divisible by are 1 and 47.