
Write the prime factorization of , using factor tree method.
Answer
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Hint:We have to find prime factorization of the given number by factor tree method.Prime factorization method is the method when dividing the given number by the first prime number and continuing dividing by until you get a decimal or remainder. We will be able to find factorization by factor tree methodFinally, we get prime factors by factor tree method.
Complete step-by-step answer:
It is given that the number
Now, the prime factorization of by using factor tree method
Prime factorization method is the method when dividing the given number by the first prime number which is and continuing dividing by until we get a decimal or remainder.
Then divide by ….etc. until the only numbers are left should be prime numbers. After getting this we write the numbers as a product of prime numbers.
Factor Tree method
Factor is the number or algebraic expression which divides another number or expression with no remainder.
We can write (where and are factors of )
has two branches which contains and where is further factorized
Now has branches means we can write which contains and as prime factors.
Finally, and do not need any further branches because it is a prime number.
We don’t need to go further.
Our Factor tree method is complete
We got all prime factors by factor tree method.
∴ .
We got the required result.
Note:Factor of are
All factor pairs of 98 are combination of two factors that when multiplied together give
They are and
Smallest prime number is (Prime numbers are those numbers which have only two factors one is and another is the number itself).
Complete step-by-step answer:
It is given that the number
Now, the prime factorization of
Prime factorization method is the method when dividing the given number by the first prime number which is
Then divide by
Factor Tree method

Factor is the number or algebraic expression which divides another number or expression with no remainder.
We can write
Now
Finally,
We don’t need to go further.
Our Factor tree method is complete
We got all prime factors by factor tree method.
∴
We got the required result.
Note:Factor of
All factor pairs of 98 are combination of two factors that when multiplied together give
They are
Smallest prime number is
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