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First, you need to memorize your primes...
{2, 3, 5, 7, 11, 13, 17, 19, 23, etc}
Secondly, know the trick that you can stop looking when you reach the square root of the number you are searching for (in this case, 11 is too large; 11 x 11 = 121 so 11 could never be a factor of 108.)
Then keep dividing by primes, smallest to largest
108 =
2 x 54
2 x 2 x 27
2 x 2 x 3 x 9
2 x 2 x 3 x 3 x 3
and you are done!
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Which shows 108 factored into powers of prime numbers?
They are: 22*33 = 108
What is the prime factorization of 108 using a factor tree?
108 54,2 27,2,2 9,3,2,2 3,3,3,2,2
What is the prime factorization of 108 prime tree?
3 times 3 times 3 times 2 times 2 is the prime factorization of 108 because: 3 times 3 = 9, 9 times 3 = 27, 27 times 2 = 54, 54 times 2 = 108
Find the prime factorization of 103?
103 is already prime, no need for a factorization.
What is the LCM for 27 and 36?
The Least Common Multiple (LCM) of 27 and 36 is the smallest multiple that both numbers share. To find the LCM, you can first determine the prime factorization of each number. The prime factorization of 27 is 3 x 3 x 3 and the prime factorization of 36 is 2 x 2 x 3 x 3. To find the LCM, you take the highest power of each prime factor that appears in either number, which gives you 2 x 2 x 3 x 3 x 3 = 108. Therefore, the LCM of 27 and 36 is 108.
