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How do you find the prime factorization for 144?

Updated: 8/19/2019
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13y ago

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If you memorize the multiplication table up to 12x12, then you could recognize that 12x12=144, then you only have to factor each of the 12's is 3 x 2 x 2.

So 144 = 2 x 2 x 2 x 2 x 3 x 3. But if you don't know this, then: By inspection, it has 2 as a factor, then by sum of digits, it has 9 as a factor. Start by dividing the number by 2, until you are down to a number that cannot be divided by 2, then start dividing by 3 or 9, until you get to a number that is not divisible by 3 or 9, then see what you have left, and see if that number is prime. In this case, if you divide by 2, four times, then you are left with 9, which is 3 x 3.

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Q: How do you find the prime factorization for 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.


Can you find the prime factorization of 144?

2 * 2 * 2 * 2 * 3 * 3 = 144


Step diagram to find prime factorization for 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 factorization 144?

2x2x2x2x3x3


What prime factorization for 144?

since 144 is 122 you can find the primefactorization easy by noting that 12=22 x3 so 144=24x32


Prime factorization of 144 using exponents?

144 = 24 32


What are prime factorization of 144?

The prime factors of 144 are: 2,3


What is the prime factorization in exponential form for the number 144?

24*32 = 144


Give the prime factorization for the number 144?

144 = 24 x 32


What is the prime factorization of 144 in exponential form?

24 x 32 = 144


What is the prime factorization of 144 in exponential notation?

24 x 32 = 144