Q: What are the factor combinations of the number 44,044,025?

 A:
Positive:   1 x 440440255 x 880880517 x 259082525 x 176176131 x 142077585 x 518165155 x 284155425 x 103633527 x 83575775 x 568312635 x 167153343 x 13175
Negative: -1 x -44044025-5 x -8808805-17 x -2590825-25 x -1761761-31 x -1420775-85 x -518165-155 x -284155-425 x -103633-527 x -83575-775 x -56831-2635 x -16715-3343 x -13175


How do I find the factor combinations of the number 44,044,025?

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 44,044,025, 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 44,044,025
-1 -44,044,025

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 44,044,025.

Example:
1 x 44,044,025 = 44,044,025
and
-1 x -44,044,025 = 44,044,025
Notice both answers equal 44,044,025

With that explanation out of the way, let's continue. Next, we take the number 44,044,025 and divide it by 2:

44,044,025 ÷ 2 = 22,022,012.5

If the quotient is a whole number, then 2 and 22,022,012.5 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 44,044,025
-1 -44,044,025

Now, we try dividing 44,044,025 by 3:

44,044,025 ÷ 3 = 14,681,341.6667

If the quotient is a whole number, then 3 and 14,681,341.6667 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 44,044,025
-1 -44,044,025

Let's try dividing by 4:

44,044,025 ÷ 4 = 11,011,006.25

If the quotient is a whole number, then 4 and 11,011,006.25 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 44,044,025
-1 44,044,025
Keep dividing by the next highest number until you cannot divide anymore.

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

15172531851554255277752,6353,34313,17516,71556,83183,575103,633284,155518,1651,420,7751,761,7612,590,8258,808,80544,044,025
-1-5-17-25-31-85-155-425-527-775-2,635-3,343-13,175-16,715-56,831-83,575-103,633-284,155-518,165-1,420,775-1,761,761-2,590,825-8,808,805-44,044,025

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