Question

Is 10 to the second power the same as prime factorization of 100?

Answer 1

No, 10 to the second power is not the prime factorization of 100.

Let us find the prime factorization of 100 to show that the given statement is false.

The prime factorization of 100 is given as

`100=2 * 2 *  5  * 5`

Now, we can further write

`2 * 2 = 2^2\\ \text{and}\\ 5* 5= 5^2`

Thus, we have

`100= 2^2 * 5^2`

Therefore, the given statement is false.

Hence, we can say that

No, 10 to the second power is not the prime factorization of 100.