Q: What are the factor combinations of the number 44,432,765?

 A:
Positive:   1 x 444327655 x 888655313 x 341790531 x 143331565 x 683581155 x 286663403 x 1102552015 x 22051
Negative: -1 x -44432765-5 x -8886553-13 x -3417905-31 x -1433315-65 x -683581-155 x -286663-403 x -110255-2015 x -22051


How do I find the factor combinations of the number 44,432,765?

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 44,432,765, 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 44,432,765
-1 -44,432,765

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 44,432,765.

Example:
1 x 44,432,765 = 44,432,765
and
-1 x -44,432,765 = 44,432,765
Notice both answers equal 44,432,765

With that explanation out of the way, let's continue. Next, we take the number 44,432,765 and divide it by 2:

44,432,765 ÷ 2 = 22,216,382.5

If the quotient is a whole number, then 2 and 22,216,382.5 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 44,432,765
-1 -44,432,765

Now, we try dividing 44,432,765 by 3:

44,432,765 ÷ 3 = 14,810,921.6667

If the quotient is a whole number, then 3 and 14,810,921.6667 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 44,432,765
-1 -44,432,765

Let's try dividing by 4:

44,432,765 ÷ 4 = 11,108,191.25

If the quotient is a whole number, then 4 and 11,108,191.25 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 44,432,765
-1 44,432,765
Keep dividing by the next highest number until you cannot divide anymore.

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

151331651554032,01522,051110,255286,663683,5811,433,3153,417,9058,886,55344,432,765
-1-5-13-31-65-155-403-2,015-22,051-110,255-286,663-683,581-1,433,315-3,417,905-8,886,553-44,432,765

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