Question

how to do prime factorization with example

Answer 1

Answer:

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• Step 1: Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers.
• Step 2: Write the number as a product of prime numbers.

Answer 2

Answer:

step 1: Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers. Step 2: Write the number as a product of prime numbers.

Step-by-step explanation:

Example:

Below is a detailed step-by-step process of prime factorization by taking 460 as an example.

Step 1: Divide 460 by the least prime number i.e. 2.

         So, 460 ÷ 2 = 230

Step 2: Again Divide 230 with the least prime number (which is again 2).

         Now, 160 ÷ 2 = 115

Step 3: Divide again with the least prime number which will be 5.

         So, 115 ÷ 5 = 23

Step 4: As 23 is a prime number, divide it with itself to get 1.

         Now, the prime factors of 460 will be 22 x 5 x 23

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