# What is the prime factorization of 270000?

## What is the prime factorization of 270000?

The prime factorization of 270,000 is 24 × 33 × 54.

### How do you find prime factorization with prime numbers?

Division Method of Prime Factorization

1. Step 1: Divide the number by the smallest prime number such that the smallest prime number should divide the number completely.
2. Step 2: Again, divide the quotient of step 1 by the smallest prime number.
3. Step 3: Repeat step 2, until the quotient becomes 1.

How do you find prime powers?

In mathematics, a prime power is a positive integer power of a single prime number. For example: 7 = 71, 9 = 32 and 64 = 26 are prime powers, while 6 = 2 × 3, 12 = 22 × 3 and 36 = 62 = 22 × 32 are not. (The number 1 is not counted as a prime power.)

How to find the prime factorization of a number?

To find the prime factorization of the given number using factor tree method, follow the below steps: Step 3: Again factorize the composite factors, and write down the factors pairs as the branches In factor tree, the factors of a number are found and then those numbers are further factorized until we reach the closure.

## How to find the prime factors of a tree?

Step 1: Consider the given number as the root of the tree. Step 2: Write down the pair of factors as the branches of a tree. Step 3: Again factorize the composite factors, and write down the factors pairs as the branches. Step 4: Repeat the step, until to find the prime factors of all the composite factors.

### When do you align the prime factor base?

Align the common prime factor base whenever possible. Step 2: For the numbers with a common prime factor base, select the prime number that has the highest power. The prime factor with the highest power implies that it occurs the most in the entire list.

How to write down the prime factorization of 13?

Write down the prime factorization of 13. The prime factorization of 13 is 13. Because the prime factors of 13 are 1 and 13. As 1, and 13 are prime numbers, the prime factorization of 13 is written as 1×13, which is equal to 13.