Q: What are the factor combinations of the number 44,344,043?

 A:
Positive:   1 x 4434404319 x 233389731 x 143045379 x 561317589 x 75287953 x 465311501 x 295432449 x 18107
Negative: -1 x -44344043-19 x -2333897-31 x -1430453-79 x -561317-589 x -75287-953 x -46531-1501 x -29543-2449 x -18107


How do I find the factor combinations of the number 44,344,043?

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 44,344,043, 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 44,344,043
-1 -44,344,043

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 44,344,043.

Example:
1 x 44,344,043 = 44,344,043
and
-1 x -44,344,043 = 44,344,043
Notice both answers equal 44,344,043

With that explanation out of the way, let's continue. Next, we take the number 44,344,043 and divide it by 2:

44,344,043 ÷ 2 = 22,172,021.5

If the quotient is a whole number, then 2 and 22,172,021.5 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 44,344,043
-1 -44,344,043

Now, we try dividing 44,344,043 by 3:

44,344,043 ÷ 3 = 14,781,347.6667

If the quotient is a whole number, then 3 and 14,781,347.6667 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 44,344,043
-1 -44,344,043

Let's try dividing by 4:

44,344,043 ÷ 4 = 11,086,010.75

If the quotient is a whole number, then 4 and 11,086,010.75 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 44,344,043
-1 44,344,043
Keep dividing by the next highest number until you cannot divide anymore.

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

11931795899531,5012,44918,10729,54346,53175,287561,3171,430,4532,333,89744,344,043
-1-19-31-79-589-953-1,501-2,449-18,107-29,543-46,531-75,287-561,317-1,430,453-2,333,897-44,344,043

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