Q: What are the factor combinations of the number 42,944,389?

 A:
Positive:   1 x 4294438919 x 226023129 x 148084159 x 727871551 x 779391121 x 383091321 x 325091711 x 25099
Negative: -1 x -42944389-19 x -2260231-29 x -1480841-59 x -727871-551 x -77939-1121 x -38309-1321 x -32509-1711 x -25099


How do I find the factor combinations of the number 42,944,389?

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 42,944,389, 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 42,944,389
-1 -42,944,389

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 42,944,389.

Example:
1 x 42,944,389 = 42,944,389
and
-1 x -42,944,389 = 42,944,389
Notice both answers equal 42,944,389

With that explanation out of the way, let's continue. Next, we take the number 42,944,389 and divide it by 2:

42,944,389 ÷ 2 = 21,472,194.5

If the quotient is a whole number, then 2 and 21,472,194.5 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 42,944,389
-1 -42,944,389

Now, we try dividing 42,944,389 by 3:

42,944,389 ÷ 3 = 14,314,796.3333

If the quotient is a whole number, then 3 and 14,314,796.3333 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 42,944,389
-1 -42,944,389

Let's try dividing by 4:

42,944,389 ÷ 4 = 10,736,097.25

If the quotient is a whole number, then 4 and 10,736,097.25 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 42,944,389
-1 42,944,389
Keep dividing by the next highest number until you cannot divide anymore.

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

11929595511,1211,3211,71125,09932,50938,30977,939727,8711,480,8412,260,23142,944,389
-1-19-29-59-551-1,121-1,321-1,711-25,099-32,509-38,309-77,939-727,871-1,480,841-2,260,231-42,944,389

More Examples

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