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144 = 2 x 2 x 2 x 2 x 3 x 3 OR 24 x 32

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13y ago
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6mo ago

The prime factorization of 144 is 2^4 * 3^2. The prime factor is 2 and the exponent is 4.

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Q: What is the prime factor and exponent of 144?
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Related questions

What do 144 and 72 have in common with the prime factorization?

Since 72 is a factor of 144, its whole prime factorization will be contained in the prime factorization of 144.


What does 144 and 72 in the prime factorization have in common?

Since 72 is a factor of 144, its entire prime factorization will be contained in the prime factorization of 144.


Why 9 is not a prime factor of 144?

The prime factorisation of 144 is 2 x 2 x 2 x 2 x 3 x 3 or 24 x 32. 9 is a factor of 144 but is not a prime factor because it is not a prime number.


Are 144 and 165 relatively prime numbers?

No, 144 and 165 are not relatively prime. For them to be relatively prime, the number 1 could be their only common factor, but they also have 3 as a common factor.


What is the prime factor tree of the number 144?

144 72,2 36,2,2 18,2,2,2 9,2,2,2,2 3,3,2,2,2,2


What is the prime factor of 3888 using exponent?

3,888 = 24 x 35


What are all the prime factor of 144?

They are: 2*2*2*2*3*3 = 144 or in exponents as 24*32 = 144


What is the prime factor and exponent of 58?

58 = 2 x 29. No prime power exists since there are no duplicate prime numbers in the prime factorization.


What goes into 12 and 44?

Assume this problem deals with multiples of the numbers. The objective is vague, but I'm pretty sure of what is asked here.If we want to find the gcd of these terms, factor out each term and select the prime factor with the least exponent. Finally, evaluate the product of all prime factors. For instance:12 = 3 x 2²= 2² x 30 x 11044 = 11 x 2²= 2² x 30 x 112² has the least exponent for prime factor 2 of all these factorizations.30 has the least exponent for prime factor 3.110 has the least exponent for prime factor 11.The rest of other "invisible" prime factors, like 5 and 7, have the least exponent, which is 0!Therefore, the gcd is 2² = 4!


How do you express 144 as a product of its prime factor in index form?

It is: 2^4 times 3^2 = 144


What is the smalest prime factor of 144?

The smallest prime factor of any even number greater than two will always be two (2).


Why do you add 1 to each exponent after a number is factorized to determine the number of positive factors for any given number?

Suppose you have a prime factor with an exponent of n. Then that prime factor can appear 0, 1, 2, ... , n times in a compound factor: that is, there are (n+1) different exponents that it can take.