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Can 2 numbers have the same prime factorization?
Only if they're the same number. Every composite number has a unique prime factorization.
Is there more then one prime factorization of 576?
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.
Which numbers have a prime factorization with factors that are all the same number?
Powers of primes
How do you figure out prime factorization in exponents?
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
Do larger numbers have more prime factorization numbers than smaller numbers?
Usually, but not necessarily and not if they're prime. All prime numbers have the same number of factors.
Is 10 to the power of 2 the same as the prime factorization of 2?
No.
Is the factorization of 24 the same as the prime factorization of 24?
Yes.
Is the product of a prime number the same as the prime factorization?
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.
Can 2 numbers have the same prime factorization?
Only if they're the same number. Every composite number has a unique prime factorization.
Is there more then one prime factorization of 576?
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.
Is 100 the same as the prime factorization of 100?
No. The prime factorization of 100 is 2 x 2 x 5 x 5.
Could 2x4x5x9x11 be the prime factorization of a number?
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.
Can two numbers have the same prime factorization?
No, multiplying a set of numbers can only come out as one product. Therefore, two numbers having the same prime factorization is impossible.
If you factor with different numbers do you get the same prime factorization?
Yes.
Is the prime factorization the same as the factor string?
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.
Prime factorization for 50?
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.
How do you express the prime factorization using exponents?
When prime factorization reveals more than one multiplicand or multiplier having the same value, group those prime factors together exponentially. For example, the prime factorization of 288 is 2x2x2x2x2x3x3, which is 25x32 in exponential form.
