For the following two numbers, find two factors of the first number such that their product is the first number and their sum is the second number.
60, 23
1,60
2,30
...
Consider the factors of 60. It should not take long to fine the right ones.
-7,-6
-7,-6
To find two factors of the first number (60) such that their product is 60 and their sum is the second number (23), we can start by listing the factors of 60.
The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.
Now let's check the sum of each pair of factors. We are looking for a pair of factors whose sum is 23.
1 + 60 = 61
2 + 30 = 32
3 + 20 = 23
We found a pair of factors (3 and 20) whose sum is 23, which is the second number. The product of these factors is 3 * 20 = 60, which is the first number.
Therefore, the two factors of 60 that satisfy the conditions are 3 and 20.