Q: What are the factor combinations of the number 18,128,525?

 A:
Positive:   1 x 181285255 x 362570525 x 72514167 x 27057579 x 229475137 x 132325335 x 54115395 x 45895685 x 264651675 x 108231975 x 91793425 x 5293
Negative: -1 x -18128525-5 x -3625705-25 x -725141-67 x -270575-79 x -229475-137 x -132325-335 x -54115-395 x -45895-685 x -26465-1675 x -10823-1975 x -9179-3425 x -5293


How do I find the factor combinations of the number 18,128,525?

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 18,128,525, 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 18,128,525
-1 -18,128,525

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 18,128,525.

Example:
1 x 18,128,525 = 18,128,525
and
-1 x -18,128,525 = 18,128,525
Notice both answers equal 18,128,525

With that explanation out of the way, let's continue. Next, we take the number 18,128,525 and divide it by 2:

18,128,525 ÷ 2 = 9,064,262.5

If the quotient is a whole number, then 2 and 9,064,262.5 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 18,128,525
-1 -18,128,525

Now, we try dividing 18,128,525 by 3:

18,128,525 ÷ 3 = 6,042,841.6667

If the quotient is a whole number, then 3 and 6,042,841.6667 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 18,128,525
-1 -18,128,525

Let's try dividing by 4:

18,128,525 ÷ 4 = 4,532,131.25

If the quotient is a whole number, then 4 and 4,532,131.25 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 18,128,525
-1 18,128,525
Keep dividing by the next highest number until you cannot divide anymore.

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

152567791373353956851,6751,9753,4255,2939,17910,82326,46545,89554,115132,325229,475270,575725,1413,625,70518,128,525
-1-5-25-67-79-137-335-395-685-1,675-1,975-3,425-5,293-9,179-10,823-26,465-45,895-54,115-132,325-229,475-270,575-725,141-3,625,705-18,128,525

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