Answer
Verified
419.7k+ views
Hint: - Calculate the factors of the numbers and convert them into multiplication of prime numbers.
We have to find out the prime factorizations of 16, 28, and 38.
So, factorize these numbers
Therefore 16 factorization \[{\text{ = 2}} \times 2 \times 2 \times 2\], (2 is a prime number)
A number is called a prime number if the factor of the number is either 1 or itself.
So, 2 is multiplied four times to make the original number.
28 factorization \[{\text{ = 2}} \times 2 \times 7\], (2 and 7 are prime number)
So, 2 is multiplied two times and 7 is multiplied one time together to make the original number.
38 factorization \[{\text{ = 2}} \times 19\], (2 and 19 are prime number)
So, 2 is multiplied one time and 19 is multiplied one time together to make the original number.
$\therefore $Prime factorization of 16\[ = {2^4}\]
$\therefore $Prime factorization of 28\[ = {2^2} \times 7\]
$\therefore $Prime factorization of 38\[ = {\text{2}} \times 19\]
Note: - In such types of questions the key concept we have to remember is that prime factorization is finding which prime number multiplies together to make the original number, so calculate the factors of the numbers and convert them into multiplication of prime numbers, which is the required prime factorization.
We have to find out the prime factorizations of 16, 28, and 38.
So, factorize these numbers
Therefore 16 factorization \[{\text{ = 2}} \times 2 \times 2 \times 2\], (2 is a prime number)
A number is called a prime number if the factor of the number is either 1 or itself.
So, 2 is multiplied four times to make the original number.
28 factorization \[{\text{ = 2}} \times 2 \times 7\], (2 and 7 are prime number)
So, 2 is multiplied two times and 7 is multiplied one time together to make the original number.
38 factorization \[{\text{ = 2}} \times 19\], (2 and 19 are prime number)
So, 2 is multiplied one time and 19 is multiplied one time together to make the original number.
$\therefore $Prime factorization of 16\[ = {2^4}\]
$\therefore $Prime factorization of 28\[ = {2^2} \times 7\]
$\therefore $Prime factorization of 38\[ = {\text{2}} \times 19\]
Note: - In such types of questions the key concept we have to remember is that prime factorization is finding which prime number multiplies together to make the original number, so calculate the factors of the numbers and convert them into multiplication of prime numbers, which is the required prime factorization.
Recently Updated Pages
The branch of science which deals with nature and natural class 10 physics CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Define absolute refractive index of a medium
Find out what do the algal bloom and redtides sign class 10 biology CBSE
Prove that the function fleft x right xn is continuous class 12 maths CBSE
Find the values of other five trigonometric functions class 10 maths CBSE
Trending doubts
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE
Select the correct plural noun from the given singular class 10 english CBSE
What organs are located on the left side of your body class 11 biology CBSE
The sum of three consecutive multiples of 11 is 363 class 7 maths CBSE
What is the z value for a 90 95 and 99 percent confidence class 11 maths CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
How many squares are there in a chess board A 1296 class 11 maths CBSE