Q: What are the factor combinations of the number 28,180,025?

 A:
Positive:   1 x 281800255 x 563600525 x 112720129 x 97172547 x 599575145 x 194345235 x 119915725 x 38869827 x 340751175 x 239831363 x 206754135 x 6815
Negative: -1 x -28180025-5 x -5636005-25 x -1127201-29 x -971725-47 x -599575-145 x -194345-235 x -119915-725 x -38869-827 x -34075-1175 x -23983-1363 x -20675-4135 x -6815


How do I find the factor combinations of the number 28,180,025?

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 28,180,025, 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 28,180,025
-1 -28,180,025

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 28,180,025.

Example:
1 x 28,180,025 = 28,180,025
and
-1 x -28,180,025 = 28,180,025
Notice both answers equal 28,180,025

With that explanation out of the way, let's continue. Next, we take the number 28,180,025 and divide it by 2:

28,180,025 ÷ 2 = 14,090,012.5

If the quotient is a whole number, then 2 and 14,090,012.5 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 28,180,025
-1 -28,180,025

Now, we try dividing 28,180,025 by 3:

28,180,025 ÷ 3 = 9,393,341.6667

If the quotient is a whole number, then 3 and 9,393,341.6667 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 28,180,025
-1 -28,180,025

Let's try dividing by 4:

28,180,025 ÷ 4 = 7,045,006.25

If the quotient is a whole number, then 4 and 7,045,006.25 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 28,180,025
-1 28,180,025
Keep dividing by the next highest number until you cannot divide anymore.

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

152529471452357258271,1751,3634,1356,81520,67523,98334,07538,869119,915194,345599,575971,7251,127,2015,636,00528,180,025
-1-5-25-29-47-145-235-725-827-1,175-1,363-4,135-6,815-20,675-23,983-34,075-38,869-119,915-194,345-599,575-971,725-1,127,201-5,636,005-28,180,025

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