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

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Only if they're the same number. Every composite number has a unique prime factorization.

No. Every composite number has one unique prime factorization. You can write it with or without exponents, but it's still the same prime factorization.

Powers of primes

The exponents are just shorthand for repeated prime numbers. If your prime factorization is 2 x 2 x 2 x 3 x 3 x 3, that's the same as 23 x 33

Usually, but not necessarily and not if they're prime. All prime numbers have the same number of factors.

Related questions

No.

Yes.

A prime factorization is the same as expressing a composite number as the product of its prime factors. Prime numbers don't have factorizations; they're already prime.

Only if they're the same number. Every composite number has a unique prime factorization.

No. Every composite number has one unique prime factorization. You can write it with or without exponents, but it's still the same prime factorization.

No. The prime factorization of 100 is 2 x 2 x 5 x 5.

No because all the numbers in a prime factorization must be prime. The number 9 is not prime. It should be 3 *3. same thing with 4, should be 2*2. So what would be a prime factorization is 2x2x2x3x3x5x11.

No, multiplying a set of numbers can only come out as one product. Therefore, two numbers having the same prime factorization is impossible.

Yes.

Since '50' is an even number; its ends in '0' . Then use the lowest prime number '2'. Hence 2)50 = 25 Since '3' will not divide into '25' , then try '5' 5)25 - 5 5)5 = 1 So the prime factors of '50' are 2,5,5, because '2' & '5' are both prime numbers.

Factor strings don't necessarily have to be composed entirely of prime numbers. But the longest factor string, the one that is entirely prime numbers, that's the prime factorization.

you can find the prime factorization by taking 45 and splitting it down by what can be multiplied to get 45. then you take those second numbers and do the same thing. keep doing it until you can't split up the numbers up anymore. GOOD LUCK and the answer is...3 to the second power times five........or 3*3*5 there you go