To understand the factors of both 144 and 49x², we’ll first look at each part separately.
Starting with 144, we can find its factors by looking for numbers that divide evenly into it. The factors of 144 are: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144. Each of these numbers can be multiplied by another factor to result in 144.
Now, regarding 49x², we can see that 49 is a square number and is equal to 7². So the factors of 49 are 1, 7, and 49. When we consider the variable x², the factors of x² are 1, x, and x². When we combine these, the factors of 49x² can be represented as follows: 1, 7, 49, x, 7x, 49x, x², 7x², and 49x².
Now, if you are looking for common factors between the two, the only number that fits and divides both is 1.
In summary, while both 144 and 49x² have a variety of factors, the common factor they share is 1.