
Use a factor tree to find the prime factors of . Write the prime factorization using exponents ?
Answer
411k+ views
Hint: To get the Prime factors of , you have to divide by the smallest prime number possible. Then you take the result from that and divide that by the smallest prime number. Repeat this process until you get the prime number.
Complete step-by-step solution:
To find the prime factorization of , the procedure below applies to find prime factorization of a number.
We need to find factors of the given number, determine if at least one of them is not prime; if it is not a prime factor it repeats this process until all factors are prime.
Here to find the prime factorization of the broad factors are and . Then we proceed as given below. Then factors tree comes up as shown below:
Hence, there are total prime factors of , they are
.
Note: The key point to make a factor tree is to factorize the given number until we get a prime number. In the given question when we count the number of prime numbers above, we find that has a total of prime factors. When you multiply all the prime factors of together it will result in .
This is called the product of prime factors of .
Additional information: A factor tree is a diagram in which you first have broad factors of a number and so on, until you can’t factor anymore and you have all the prime factors at the end.
Complete step-by-step solution:
To find the prime factorization of
We need to find
Here to find the prime factorization of

Hence, there are total
Note: The key point to make a factor tree is to factorize the given number until we get a prime number. In the given question when we count the number of prime numbers above, we find that
This is called the product of prime factors of
Additional information: A factor tree is a diagram in which you first have broad factors of a number and so on, until you can’t factor anymore and you have all the prime factors at the end.
Recently Updated Pages
Find the five rational numbers between dfrac12anddfrac32 class 7 maths CBSE

Convert the following numbers in the decimal form i class 7 maths CBSE

How do you write the fraction dfrac297 as a repeating class 7 maths CBSE

Write any 3 rational numbers between 2 and 0 class 7 maths CBSE

How many litres is 1000 millilitres class 7 maths CBSE

How do you find the square root of 10 class 7 maths CBSE

Trending doubts
What is the full form of AD a After death b Anno domini class 6 social science CBSE

How many millions make a billion class 6 maths CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Four bells toll together at 900am They toll after 7811 class 6 maths CBSE

Name the countries which are larger than India class 6 social science CBSE

Why is democracy considered as the best form of go class 6 social science CBSE
