The prime factors of 144 are
2, 2, 2, 2, 3 and 3. Any combination of these will give 144 - such as 6 x 24 (2 x 3) x (2 x 2 x 2 x 8)
To make -144 at then an odd number of factors must be negative....
-2 x 72
-2 x -3 x 4 x -6
-2 x 2 x 2 x 2 x -3 x -3
and so on.
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The Prime number factorization is the product of prime numbers to equal 144.
144 = 2 x 2 x 2 x 2 x 3 x 3
144's prime factors are 2, 2, 2, 2, 3 and 3.
How did I do this? I notice that 144 is even, so I divide 144 by 2, "peeling-off" a factor of 2. 144 / 2 = 72. Then I notice that 72 is even, so I divide 72 by 2, "peeling-off" another factor of 2, leaving 36. 36 is even, so I divide 36 by 2, leaving 9. 9 is odd, so I try other prime factors (2, 3, 5, 7, 11, etc.) If you are left with a prime, you are done.
9 divides evenly by 3 leaving 3.
All the prime number "peeled" off through this process are it's prime factors.
2, 2, 2, 2, 3 and 3.
You can check your answer by multiplying the prime factors you found.
2 x 2 x 2 x 2 x 3 x 3 = 144
Now try a harder one ... What are the prime factors of 330? I bet you can do it.
The positive integer factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144.
24 times 32
144 has 15 factors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144.
The common factors of 54 and 144 are: 1, 2, 3, 6, 9, and 18
Yes.
Common factors of 45 and 144 are: 1, 3, and 9.
In order to find the common factors of 144 and 100, we follow the following steps:Step 1: Find the HCF of 144 and 100.Prime factorization of 144 = 2x2x2x2x3x3Prime factorization of 100 = 2x2x5x5HCF(144,100) = 2x2 = 22 = 4.Step 2: Find the factors of HCF(144,100) i.e. 4. The factors of 4 are the common factors of 144 and 100.Factors of 4 are 1, 2 and 4.So, common factors of 144 and 100 are 1, 2 and 4.