Q: What are the factor combinations of the number 402,215,639?

 A:
Positive:   1 x 4022156397 x 5745937761 x 659369971 x 5665009427 x 941957497 x 8092874331 x 9286913267 x 30317
Negative: -1 x -402215639-7 x -57459377-61 x -6593699-71 x -5665009-427 x -941957-497 x -809287-4331 x -92869-13267 x -30317


How do I find the factor combinations of the number 402,215,639?

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 402,215,639, 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.

1 402,215,639
-1 -402,215,639

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 402,215,639.

Example:
1 x 402,215,639 = 402,215,639
and
-1 x -402,215,639 = 402,215,639
Notice both answers equal 402,215,639

With that explanation out of the way, let's continue. Next, we take the number 402,215,639 and divide it by 2:

402,215,639 ÷ 2 = 201,107,819.5

If the quotient is a whole number, then 2 and 201,107,819.5 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:

1 402,215,639
-1 -402,215,639

Now, we try dividing 402,215,639 by 3:

402,215,639 ÷ 3 = 134,071,879.6667

If the quotient is a whole number, then 3 and 134,071,879.6667 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:

1 402,215,639
-1 -402,215,639

Let's try dividing by 4:

402,215,639 ÷ 4 = 100,553,909.75

If the quotient is a whole number, then 4 and 100,553,909.75 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:

1 402,215,639
-1 402,215,639
Keep dividing by the next highest number until you cannot divide anymore.

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

1761714274974,33113,26730,31792,869809,287941,9575,665,0096,593,69957,459,377402,215,639
-1-7-61-71-427-497-4,331-13,267-30,317-92,869-809,287-941,957-5,665,009-6,593,699-57,459,377-402,215,639

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