Question

pls do the prime factorisation method for the no. 7429...
show the steps..
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Answer 1

Answer:

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Step-by-step explanation:

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

.

The prime factors are: 17 x 19 x 23

or also written as { 17, 19, 23 }

Written in exponential form: 171 x 191 x 231

Finding the prime factors of 7,429

To find the prime factors, you start by dividing the number by the first prime number, which is 2. If there is not a remainder, meaning you can divide evenly, then 2 is a factor of the number. Continue dividing by 2 until you cannot divide evenly anymore. Write down how many 2's you were able to divide by evenly. Now try dividing by the next prime factor, which is 3. The goal is to get to a quotient of 1.

If it doesn't make sense yet, let's try it...

Here are the first several prime factors: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29...

Let's start by dividing 7,429 by 2

7,429 ÷ 2 = 3,714.5 - This has a remainder. Let's try another prime number.

7,429 ÷ 3 = 2,476.3333 - This has a remainder. Let's try another prime number.

7,429 ÷ 5 = 1,485.8 - This has a remainder. Let's try another prime number.

...

Keep trying increasingly larger numbers until you find one that divides evenly.

...

7,429 ÷ 17 = 437 - No remainder! 17 is one of the factors!

437 ÷ 17 = 25.7059 - There is a remainder. We can't divide by 17 evenly anymore. Let's try the next prime number

437 ÷ 19 = 23 - No remainder! 19 is one of the factors!

23 ÷ 19 = 1.2105 - There is a remainder. We can't divide by 19 evenly anymore. Let's try the next prime number

23 ÷ 23 = 1 - No remainder! 23 is one of the factors!

The orange divisor(s) above are the prime factors of the number 7,429. If we put all of it together we have the factors 17 x 19 x 23 = 7,429. It can also be written in exponential form as 171 x 191 x 231.

Factor Tree

Another way to do prime factorization is to use a factor tree. Below is a factor tree for the number 7,429.

7,429

Factor Arrows

17 437

Factor Arrows

19 23

More Prime Factorization Examples

7,427 7,428 7,430 7,431

71 x 1,0611 22 x 31 x 6191 21 x 51 x 7431 31 x 2,4771