Q: What are the factor combinations of the number 40,712,189?
A:
Positive:
1 x 407121897 x 581602749 x 830861
Negative:
-1 x -40712189-7 x -5816027-49 x -830861
A:
Positive:
1 x 407121897 x 581602749 x 830861
Negative:
-1 x -40712189-7 x -5816027-49 x -830861
Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 40,712,189, it is easier to work with a table - it's called factoring from the outside in.
We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.
1 | 40,712,189 | |
-1 | -40,712,189 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 40,712,189.
Example:
1 x 40,712,189 = 40,712,189
and
-1 x -40,712,189 = 40,712,189
Notice both answers equal 40,712,189
With that explanation out of the way, let's continue. Next, we take the number 40,712,189 and divide it by 2:
40,712,189 ÷ 2 = 20,356,094.5
If the quotient is a whole number, then 2 and 20,356,094.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
1 | 40,712,189 | |
-1 | -40,712,189 |
Now, we try dividing 40,712,189 by 3:
40,712,189 ÷ 3 = 13,570,729.6667
If the quotient is a whole number, then 3 and 13,570,729.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
1 | 40,712,189 | |
-1 | -40,712,189 |
Let's try dividing by 4:
40,712,189 ÷ 4 = 10,178,047.25
If the quotient is a whole number, then 4 and 10,178,047.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
1 | 40,712,189 | |
-1 | 40,712,189 |
If you did it right, you will end up with this table:
1 | 7 | 49 | 830,861 | 5,816,027 | 40,712,189 |
-1 | -7 | -49 | -830,861 | -5,816,027 | -40,712,189 |
Here are some more numbers to try:
Try the factor calculator