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

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โˆ™ 2009-08-19 01:39:25
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Q: Can two numbers have the same prime factorization?
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Related questions

Can two different numbers have the same prime factorization?

No.


How can you use prime factorization to determine if two numbers are relatively prime?

Once your prime factorization is complete and you discover that there are no numbers in common, the GCF is one and the numbers are declared to be relatively prime.


How many prime numbers are in the prime factorization of 50?

Two.


What is the LCM of the numbers 12 and 36 using prime factorization?

The LCM of the given two numbers using prime factorization is 36


How many different prime numbers are in the prime factorization of 21?

Two.


Prime factorization of 1 4?

The prime factorization of 14 is 2 x 7. Prime factorization is multiplying two prime numbers by each other to get the original number.


A multiple of 5 does not end in 5 prime factorization of the number is a string of three numbers two of the prime factorization are the same and greater than the seventh square number?

567


What are two prime numbers for 64?

The prime factorization of 64 is 2x2x2x2x2x2 or 26. 2 is the only prime number in the factorization of 64.


Is prime factorization always useful in finding LCM?

Most of the time. If you can recognize that the two numbers are relatively prime, factorization isn't necessary. Just multiply the two numbers together.


How can you use the prime factorization of two numbers to determine whether they are relative prime?

If the prime factorizations have no prime factors in common, the numbers are relatively prime.


Does the number 1 have a prime factorization?

no. Prime numbers have to have two, and only two, factors: 1 and itself.


How do you find the prime factorization of two numbers?

Use two factor trees.


What two numbers equals 102 for prime factorization?

102 has three different prime factors so there are no TWO numbers as required by the question.


What two numbers between two and fifty have three different numbers in their prime factorization?

30 and 42


What are two numbers whose prime factorization includes the numbers two three and five?

30 and 60


What is the prime factorization for two?

Two is already prime. No factorization.


Can two different numbers have the same factorization?

No.


How can you use the prime factorization of two numbers to determine whether they are relatively prime?

Use the prime factorizations to determine the GCF. If the GCF is 1, the numbers are relatively prime. If the two numbers have no prime factors in common, they are relatively prime.


Which two prime numbers multiplied by each other equals 960?

There are no two prime numbers that equal 960 when multiplied together. Prime factorization of 960 is 2x2x2x2x2x2x3x5 or 26x3x5.


What is the prime factorization of 243 written as a factor of two numbers?

The prime factorization of 243 will require 5 numbers. It is possible to write a factorization in two numbers, but they won't both be prime. 3 x 3 x 3 x 3 x 3 = 243 9 x 27 = 243


How can you use prime factorization to determine whether two numbers are relatively prime?

If the prime factorizations contain no factors in common (their GCF is 1), the numbers are relatively prime.


What two prime numbers equal 58?

The prime factorization of 58 is: 2 x 29, so 2 and 29 are the two prime numbers that equal 58.


What are two base numbers used in the prime factorization of 48?

2 and 3


What number is a multiple of 5 but it does not end in 5 it has a prime factorization of three and two numbers of the prime factorization are the same and is greater than the seventh square number?

2 x 5 x 5 = 50 satisfies those conditions.


What is the prime factorization of two?

2 is already prime, no factorization is required.