Courses
Courses for Kids
Free study material
Offline Centres
More
Store Icon
Store
seo-qna
SearchIcon
banner

Write the prime factorization of 98, using factor tree method.

Answer
VerifiedVerified
500.1k+ views
like imagedislike image
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 2and continuing dividing by 2 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 98
Now, the prime factorization of 98 by using factor tree method
Prime factorization method is the method when dividing the given number by the first prime number which is 2 and continuing dividing by 2 until we get a decimal or remainder.
Then divide by 2,3,5,7,11….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
seo images

Factor is the number or algebraic expression which divides another number or expression with no remainder.
We can write 98=14×7(where 14 and 7 are factors of 98)
 98 has two branches which contains 14 and 7 where 14 is further factorized
Now 14 has 2 branches means we can write 14=2×7 which contains 2 and 7 as prime factors.
Finally, 2,7 and 7 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.
98=2×7×7.
We got the required result.

Note:Factor of 98 are 1,2,7,14,49
All factor pairs of 98 are combination of two factors that when multiplied together give 98
They are (1,98),(2,49) and (7,14)
Smallest prime number is 2(Prime numbers are those numbers which have only two factors one is 1 and another is the number itself).