1 + 4 + 2 = 7
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To find the common factors of 8 and 12, we first list the factors of each number. The factors of 8 are 1, 2, 4, and 8, while the factors of 12 are 1, 2, 3, 4, 6, and 12. The common factors are 1, 2, and 4. To find the sum of these common factors, we add them together: 1 + 2 + 4 = 7. So, the sum of all the common factors of 8 and 12 is 7.
Explaining how to find all factors pairs of 40 is easy. All you have to do is find which whole numbers 40 can be divided into.
A simple way to find the common factors of any set of numbers is to find all the factors of each one. For example: Let A be all the factors of 24. Let B be all the factors of 32. Let C be all the factors of 40. A = {1,2,3,4,6,8,12,24} B = {1,2,4,8,16,32} C = {1,2,4,5,8,10,20,40} So now we find the intersection (that is all the numbers that are common in all of the sets) of all three sets of factors. A∩B∩C = {1,2,4,8} Therefore, the common factors of 24, 32 and 40 are 1, 2, 4 and 8.
The factors of 4 are 1, 2, 4. For them to be common, they need to be compared to another set of factors.
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.