Q: What are the factor combinations of the number 25,743,185?

 A:
Positive:   1 x 257431855 x 514863713 x 198024517 x 151430565 x 39604985 x 302861221 x 1164851105 x 23297
Negative: -1 x -25743185-5 x -5148637-13 x -1980245-17 x -1514305-65 x -396049-85 x -302861-221 x -116485-1105 x -23297


How do I find the factor combinations of the number 25,743,185?

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 25,743,185, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

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 25,743,185
-1 -25,743,185

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 25,743,185.

Example:
1 x 25,743,185 = 25,743,185
and
-1 x -25,743,185 = 25,743,185
Notice both answers equal 25,743,185

With that explanation out of the way, let's continue. Next, we take the number 25,743,185 and divide it by 2:

25,743,185 ÷ 2 = 12,871,592.5

If the quotient is a whole number, then 2 and 12,871,592.5 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 25,743,185
-1 -25,743,185

Now, we try dividing 25,743,185 by 3:

25,743,185 ÷ 3 = 8,581,061.6667

If the quotient is a whole number, then 3 and 8,581,061.6667 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 25,743,185
-1 -25,743,185

Let's try dividing by 4:

25,743,185 ÷ 4 = 6,435,796.25

If the quotient is a whole number, then 4 and 6,435,796.25 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 25,743,185
-1 25,743,185
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

15131765852211,10523,297116,485302,861396,0491,514,3051,980,2455,148,63725,743,185
-1-5-13-17-65-85-221-1,105-23,297-116,485-302,861-396,049-1,514,305-1,980,245-5,148,637-25,743,185

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