Q: What are the factor combinations of the number 44,631,323?

 A:
Positive:   1 x 4463132311 x 405739319 x 2349017179 x 249337209 x 2135471193 x 374111969 x 226673401 x 13123
Negative: -1 x -44631323-11 x -4057393-19 x -2349017-179 x -249337-209 x -213547-1193 x -37411-1969 x -22667-3401 x -13123


How do I find the factor combinations of the number 44,631,323?

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 44,631,323, 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 44,631,323
-1 -44,631,323

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 44,631,323.

Example:
1 x 44,631,323 = 44,631,323
and
-1 x -44,631,323 = 44,631,323
Notice both answers equal 44,631,323

With that explanation out of the way, let's continue. Next, we take the number 44,631,323 and divide it by 2:

44,631,323 ÷ 2 = 22,315,661.5

If the quotient is a whole number, then 2 and 22,315,661.5 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 44,631,323
-1 -44,631,323

Now, we try dividing 44,631,323 by 3:

44,631,323 ÷ 3 = 14,877,107.6667

If the quotient is a whole number, then 3 and 14,877,107.6667 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 44,631,323
-1 -44,631,323

Let's try dividing by 4:

44,631,323 ÷ 4 = 11,157,830.75

If the quotient is a whole number, then 4 and 11,157,830.75 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 44,631,323
-1 44,631,323
Keep dividing by the next highest number until you cannot divide anymore.

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

111191792091,1931,9693,40113,12322,66737,411213,547249,3372,349,0174,057,39344,631,323
-1-11-19-179-209-1,193-1,969-3,401-13,123-22,667-37,411-213,547-249,337-2,349,017-4,057,393-44,631,323

More Examples

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