answersLogoWhite

0

Every integer has a unique set of factors. Multiples of numbers contain their factor's factors as well as their own.

User Avatar

Wiki User

8y ago

Still curious? Ask our experts.

Chat with our AI personalities

ProfessorProfessor
I will give you the most educated answer.
Chat with Professor
BeauBeau
You're doing better than you think!
Chat with Beau
SteveSteve
Knowledge is a journey, you know? We'll get there.
Chat with Steve
More answers

Here are pairs of numbers whose prime factorizations use the same prime factors:

4 = 22

32 = 25

6 = 2 x 3

24 = 23 x 3

5 = 5

625 = 54

21 = 3 x 7

63 = 32 x 7

30 = 2 x 3 x 5

180 = 22 x 32 x 5

User Avatar

Wiki User

15y ago
User Avatar

All prime numbers have two factors: one and itself. (For example, the factors of 11 are 1 and 11.)

User Avatar

Wiki User

14y ago
User Avatar

Example: 36 and 175

2 x 2 x 3 x 3 = 36

5 x 5 x 7 = 175

There are no common prime factors. The GCF is 1. By definition, that makes them relatively prime.

User Avatar

Wiki User

12y ago
User Avatar

6 It's prime factors are 2 and 3.

User Avatar

Wiki User

12y ago
User Avatar

1 and 1

User Avatar

Wiki User

9y ago
User Avatar

No.

User Avatar

Wiki User

8y ago
User Avatar

Add your answer:

Earn +20 pts
Q: Can two different numbers have the same prime factorization?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Movies & Television

What does a factorization look like?

The prime factorization of a number uses only primes. Ex: The prime factorization of 12 is not 6 x 2, and not 4 x 3, because 6 and 4 are not prime numbers. The prime factorization is 2 x 2 x 3. Their product is 12 and all factors are prime numbers. To get a prime factorization you are usually taught to factor through division by small prime numbers, sometimes you must use the same number more than once as in the example of 12 above 2 was used twice. Ex: find the prime factorization of 18. The smallest prime is 2... divide by 2 18 / 2 = 9 .... for the next step divide 9 by a prime 9 / 3 = 3 ... this is a prme ... it is also a factor so the prime factorization is 18 = 2x3x3 Ex. find the prime factorization of 35. 35 cannot be divided by 2, or 3, so use 5 first 35 / 5 = 7 .... since 7 is a prime we are finished. The prime factorization of 35 is 35 = 5 x 7 Some teachers teach this using a "factor tree" .. I can't type one of those on a computer.


What number is a multiple of 5 its prime factorization is a string of three numbers 2 numbers in the prime factorization are the same greater than the seventh square number?

There are a lot of possibilities. The seventh square number is 49. 5 times 5 times any other prime number will be greater than 49. 5 times any pair of prime numbers seven or greater will also satisfy the conditions.


What is the prime factorization of 95?

19*5 this answer is also the same in exponent form.The prime factorization of 95 is 5*19.5 x 19 = 95


Is the prime factorization of 20 the same thing as all the factors of 20 why or why not?

It's not, because all the factors of 20 aren't prime.


Do large numbers have more prime factors than smaller numbers?

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