400
200,2
100,2,2
50,2,2,2
25,2,2,2,2
5,5,2,2,2,2
400 200,2 100,2,2 50,2,2,2 25,2,2,2,2 5,5,2,2,2,2
Use a factor tree. 400 200,2 100,2,2 50,2,2,2 25,2,2,2,2 5,5,2,2,2,2
We generally don't do factor trees of negative numbers, since factor trees are designed to obtain the prime factorization and negative numbers don't have prime factorizations. Here's 400: 400 200,2 100,2,2 50,2,2,2 25,2,2,2,2 5,5,2,2,2,2
Use a factor tree. 400 20,2 10,2,2 50,2,2,2 25,2,2,2,2 5,5,2,2,2,2 2 x 2 x 2 x 2 x 5 x 5 = 400
24 x 52 = 400
400 200,2 100,2,2 50,2,2,2 25,2,2,2,2 5,5,2,2,2,2
400 200,2 100,2,2 50,2,2,2 25,2,2,2,2 5,5,2,2,2,2
10 squared times 2squared
2 to the 4th times 5 squared
22 x 5 = 20
Well, isn't that a happy little question! To find the lowest common factor of 60 and 400, we need to look for the smallest number that both 60 and 400 can be divided by evenly. In this case, the lowest common factor is 20. Just like painting a beautiful landscape, finding common factors can be a peaceful and satisfying process.
400 = 2^4 × 5^2