Question

Find the prime factors of 12673.

Answer 1

Hint: As the question mentioned we have to find the L.C.M of the numbers using the prime factorization method. In the prime factorization method, we have to express a given number as a product of prime numbers. first, check the last digit of the number whether it's even or odd if the last digit is even then start doing factorising with number 2 and if the last number is odd then start the factorising the number with 3.

Complete step-by-step answer:
We have number 12673
The number ends with the number 3 which is an odd number so, the factor can be the number which has the last digit as 3,7 and 9
Let's check
Divide the number by 19
$ = \dfrac{{12673}}{{19}}$
Dividing the numerator by denominator
$ = 667$
The first factor of the number 12673 is 19
Now divide the 667 number by 23
$ = \dfrac{{667}}{{23}}$
Dividing the numerator by denominator
$ = 29$
The second factor of the number 12673 is 23
Divide the number 29 by 29 because it doesn’t have any factor
$ = \dfrac{{29}}{{29}}$
Dividing the numerator by denominator
$ = 1$
So, the number is 1
And we have the prime factor of the number 12673
$12673 = 19.23.29$

Hence, the answer is $\{ 19,23,29\} $

Note: As the question says you have to use the prime factorization method to solve the above question. While taking the L.C.M always starts with dividing the number by 3 and 2. Divide correctly. Multiply all the numbers for finding the L.C.M. Always start with the lowest number.do the solution step by step.