Q: What are the factor combinations of the number 44,323,405?

 A:
Positive:   1 x 443234055 x 88646817 x 633191535 x 1266383271 x 1635551355 x 327111897 x 233654673 x 9485
Negative: -1 x -44323405-5 x -8864681-7 x -6331915-35 x -1266383-271 x -163555-1355 x -32711-1897 x -23365-4673 x -9485


How do I find the factor combinations of the number 44,323,405?

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 44,323,405, 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 44,323,405
-1 -44,323,405

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 44,323,405.

Example:
1 x 44,323,405 = 44,323,405
and
-1 x -44,323,405 = 44,323,405
Notice both answers equal 44,323,405

With that explanation out of the way, let's continue. Next, we take the number 44,323,405 and divide it by 2:

44,323,405 ÷ 2 = 22,161,702.5

If the quotient is a whole number, then 2 and 22,161,702.5 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 44,323,405
-1 -44,323,405

Now, we try dividing 44,323,405 by 3:

44,323,405 ÷ 3 = 14,774,468.3333

If the quotient is a whole number, then 3 and 14,774,468.3333 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 44,323,405
-1 -44,323,405

Let's try dividing by 4:

44,323,405 ÷ 4 = 11,080,851.25

If the quotient is a whole number, then 4 and 11,080,851.25 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 44,323,405
-1 44,323,405
Keep dividing by the next highest number until you cannot divide anymore.

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

157352711,3551,8974,6739,48523,36532,711163,5551,266,3836,331,9158,864,68144,323,405
-1-5-7-35-271-1,355-1,897-4,673-9,485-23,365-32,711-163,555-1,266,383-6,331,915-8,864,681-44,323,405

More Examples

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