What is the difference between the highest positive factor of 19 and the highest negative factor of 21?
19 is prime number ( divisible only by 1 and with itself )
Positive factors of 19:
1 and 19
Negative Factors of 19:
- 1 and - 19
Highest positive factor of 19 is 19
Positive factors of 21:
1 , 3 , 7 and 21
Negative Factors of 21:
- 1 , - 3 , - 7 and - 21
The highest negative factor of 21 is - 1 because, for negative numbes
- 1 > - 21
The difference between the highest positive factor of 19 and the highest negative factor of 21 =
19 - ( - 1 ) = 19 + 1 = 20
20
To find the highest positive factor of a number, we need to determine the largest whole number that can divide it evenly. If we consider the number 19, it is a prime number, meaning it is only divisible evenly by 1 and itself. Therefore, the highest positive factor of 19 is 19.
On the other hand, to find the highest negative factor of a number, we determine the largest negative whole number that can divide it evenly. For the number 21, we can observe that it is divisible by -1, -3, -7, and -21, among other factors. The highest negative factor of 21 is -21.
Therefore, the difference between the highest positive factor of 19 and the highest negative factor of 21 is 19 - (-21) = 19 + 21 = 40.
To find the highest positive factor of a number, you need to identify all the numbers that divide evenly into that number and then select the largest one. Similarly, to find the highest negative factor of a number, you need to identify all the numbers that divide evenly into that number when considering negative values, and then select the number with the greatest absolute value.
Let's first find the factors of 19. Since 19 is a prime number, it only has two factors: 1 and 19. Therefore, the highest positive factor of 19 is 19.
Next, let's find the factors of 21. The numbers that divide evenly into 21 are 1, 3, 7, and 21. To find the highest negative factor, we need to consider the negative versions of these numbers as well. So, the factors of -21 are -1, -3, -7, and -21. Among these factors, the number with the greatest absolute value is -21.
Therefore, the difference between the highest positive factor of 19 (19) and the highest negative factor of 21 (-21) is 19 - (-21) = 19 + 21 = 40.