Q: What are the factor combinations of the number 35,901,575?
A:
Positive:
1 x 359015755 x 718031525 x 1436063
Negative:
-1 x -35901575-5 x -7180315-25 x -1436063
A:
Positive:
1 x 359015755 x 718031525 x 1436063
Negative:
-1 x -35901575-5 x -7180315-25 x -1436063
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 35,901,575, 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 | 35,901,575 | |
-1 | -35,901,575 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 35,901,575.
Example:
1 x 35,901,575 = 35,901,575
and
-1 x -35,901,575 = 35,901,575
Notice both answers equal 35,901,575
With that explanation out of the way, let's continue. Next, we take the number 35,901,575 and divide it by 2:
35,901,575 ÷ 2 = 17,950,787.5
If the quotient is a whole number, then 2 and 17,950,787.5 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 | 35,901,575 | |
-1 | -35,901,575 |
Now, we try dividing 35,901,575 by 3:
35,901,575 ÷ 3 = 11,967,191.6667
If the quotient is a whole number, then 3 and 11,967,191.6667 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 | 35,901,575 | |
-1 | -35,901,575 |
Let's try dividing by 4:
35,901,575 ÷ 4 = 8,975,393.75
If the quotient is a whole number, then 4 and 8,975,393.75 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 | 35,901,575 | |
-1 | 35,901,575 |
If you did it right, you will end up with this table:
1 | 5 | 25 | 1,436,063 | 7,180,315 | 35,901,575 |
-1 | -5 | -25 | -1,436,063 | -7,180,315 | -35,901,575 |
Here are some more numbers to try:
Try the factor calculator