Q: What are the factor combinations of the number 838,042,435?

 A:
Positive:   1 x 8380424355 x 16760848729 x 28898015145 x 5779603619 x 13538653095 x 2707739337 x 8975517951 x 46685
Negative: -1 x -838042435-5 x -167608487-29 x -28898015-145 x -5779603-619 x -1353865-3095 x -270773-9337 x -89755-17951 x -46685


How do I find the factor combinations of the number 838,042,435?

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 838,042,435, 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.

1 838,042,435
-1 -838,042,435

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 838,042,435.

Example:
1 x 838,042,435 = 838,042,435
and
-1 x -838,042,435 = 838,042,435
Notice both answers equal 838,042,435

With that explanation out of the way, let's continue. Next, we take the number 838,042,435 and divide it by 2:

838,042,435 ÷ 2 = 419,021,217.5

If the quotient is a whole number, then 2 and 419,021,217.5 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:

1 838,042,435
-1 -838,042,435

Now, we try dividing 838,042,435 by 3:

838,042,435 ÷ 3 = 279,347,478.3333

If the quotient is a whole number, then 3 and 279,347,478.3333 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:

1 838,042,435
-1 -838,042,435

Let's try dividing by 4:

838,042,435 ÷ 4 = 209,510,608.75

If the quotient is a whole number, then 4 and 209,510,608.75 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:

1 838,042,435
-1 838,042,435
Keep dividing by the next highest number until you cannot divide anymore.

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

15291456193,0959,33717,95146,68589,755270,7731,353,8655,779,60328,898,015167,608,487838,042,435
-1-5-29-145-619-3,095-9,337-17,951-46,685-89,755-270,773-1,353,865-5,779,603-28,898,015-167,608,487-838,042,435

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