A: The prime determinants are: 11 x 11 or additionally written as 11, 11 created in exponential form: 112

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Why is the element factorization that 121 created as 112?

What is prime factorization?

Prime factorization or prime element decomposition is the procedure of finding which prime numbers have the right to be multiplied with each other to make the initial number.

Finding the prime components of 121

To discover the prime factors, you begin by dividing the number through the an initial prime number, i beg your pardon is 2. If over there is not a remainder, definition you deserve to divide evenly, then 2 is a aspect of the number. Proceed dividing by 2 until you cannot divide evenly anymore. Compose down how countless 2"s you to be able to division by evenly. Now try dividing by the following prime factor, i beg your pardon is 3. The score is to get to a quotient the 1.

If the doesn"t make sense yet, let"s shot it...

Here room the very first several element factors: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29...

Let"s begin by dividing 121 by 2

121 ÷ 2 = 60.5 - This has a remainder. Let"s shot another prime number.121 ÷ 3 = 40.3333 - This has actually a remainder. Let"s try another element number.121 ÷ 5 = 24.2 - This has actually a remainder. Let"s shot another element number.121 ÷ 11 = 11 - No remainder! 11 is among the factors!11 ÷ 11 = 1 - No remainder! 11 is one of the factors!

The orange divisor(s) above are the prime factors of the number 121. If us put every one of it with each other we have actually the factors 11 x 11 = 121. The can likewise be created in exponential type as 112.

Factor Tree

Another means to perform prime factorization is to use a aspect tree. Below is a element tree for the number 121.


More prime Factorization Examples

71 x 17123 x 31 x 5121 x 61131 x 411

try the aspect calculator

Explore an ext about the number 121:

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