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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

Factor is the number or algebraic expression which divides another number or expression with no remainder.

We can write $98 = 14 \times 7$(where $14$ and $7$ are factors of \[98\])

$\therefore 98$ has two branches which contains $14$ and $7$ where $14$ is further factorized

Now \[14\] has \[2\] branches means we can write $14 = 2 \times 7$ 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.

∴ $98 = 2 \times 7 \times 7$.

We got the required result.

All factor pairs of 98 are combination of two factors that when multiplied together give \[98\]

They are \[\left( {1,98} \right),\left( {2,49} \right)\] and \[\left( {7,14} \right)\]

Smallest prime number is $2$(Prime numbers are those numbers which have only two factors one is $1$ and another is the number itself).

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