Q: What are the factor combinations of the number 44,006,039?

 A:
Positive:   1 x 440060397 x 628657711 x 400054977 x 571507353 x 1246631619 x 271812471 x 178093883 x 11333
Negative: -1 x -44006039-7 x -6286577-11 x -4000549-77 x -571507-353 x -124663-1619 x -27181-2471 x -17809-3883 x -11333


How do I find the factor combinations of the number 44,006,039?

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 44,006,039, 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 44,006,039
-1 -44,006,039

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 44,006,039.

Example:
1 x 44,006,039 = 44,006,039
and
-1 x -44,006,039 = 44,006,039
Notice both answers equal 44,006,039

With that explanation out of the way, let's continue. Next, we take the number 44,006,039 and divide it by 2:

44,006,039 ÷ 2 = 22,003,019.5

If the quotient is a whole number, then 2 and 22,003,019.5 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 44,006,039
-1 -44,006,039

Now, we try dividing 44,006,039 by 3:

44,006,039 ÷ 3 = 14,668,679.6667

If the quotient is a whole number, then 3 and 14,668,679.6667 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 44,006,039
-1 -44,006,039

Let's try dividing by 4:

44,006,039 ÷ 4 = 11,001,509.75

If the quotient is a whole number, then 4 and 11,001,509.75 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 44,006,039
-1 44,006,039
Keep dividing by the next highest number until you cannot divide anymore.

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

1711773531,6192,4713,88311,33317,80927,181124,663571,5074,000,5496,286,57744,006,039
-1-7-11-77-353-1,619-2,471-3,883-11,333-17,809-27,181-124,663-571,507-4,000,549-6,286,577-44,006,039

More Examples

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