Prime Factors

# Prime Factors

## Explain in Detail :What is a Prime Number

A prime number is a number that can be divided evenly only by 1 and itself. For example, the prime numbers 2, 3, 5, 7, and 11 can be divided evenly by 1 and 2, 1 and 3, 1 and 5, and 1 and 7, respectively. However, the number 4 cannot be divided evenly by 1 and 2, nor by 1 and 3, nor by 1 and 5, nor by 1 and 7.

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## What are the Prime Factors or Prime Factors Definition

The prime factors of a number are the prime numbers that divide that number without leaving a remainder. For example, the prime factors of 36 are 2, 3, and 6.

## How to Find Prime Factors of a Number

To find the prime factors of a number, divide the number by all the prime numbers that divide into it evenly. The prime factors of a number are the numbers that are left over after all the other divisors are taken away.

## How To Find Prime Factorization of A Number Using the Factor Tree Method

The factor tree method is a way of finding the prime factorization of a number. The prime factorization of a number is the decomposition of the number into its prime factors.

To find the prime factorization of a number using the factor tree method, start by drawing a tree diagram with the number at the top. Then, draw branches from the number down to the prime numbers that divide into the number. Write the prime factorization of the number at the end of the branches.

For example, the prime factorization of 120 is 2 × 2 × 3 × 5.

## How to Calculate Prime Factors using the Repeated Division Method?

To calculate prime factors using the repeated division method, divide the number to be factors by all of the prime numbers up to the square root of the number. Write the resulting factors beside the original number. The prime factors are the first numbers in the resulting list.

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