Q: What are the factor combinations of the number 200,020,315?

 A:
Positive:   1 x 2000203155 x 4000406311 x 1818366519 x 1052738555 x 363673395 x 2105477209 x 957035277 x 722095691 x 2894651045 x 1914071385 x 1444193047 x 656453455 x 578935263 x 380057601 x 2631513129 x 15235
Negative: -1 x -200020315-5 x -40004063-11 x -18183665-19 x -10527385-55 x -3636733-95 x -2105477-209 x -957035-277 x -722095-691 x -289465-1045 x -191407-1385 x -144419-3047 x -65645-3455 x -57893-5263 x -38005-7601 x -26315-13129 x -15235


How do I find the factor combinations of the number 200,020,315?

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 200,020,315, 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.

1 200,020,315
-1 -200,020,315

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 200,020,315.

Example:
1 x 200,020,315 = 200,020,315
and
-1 x -200,020,315 = 200,020,315
Notice both answers equal 200,020,315

With that explanation out of the way, let's continue. Next, we take the number 200,020,315 and divide it by 2:

200,020,315 ÷ 2 = 100,010,157.5

If the quotient is a whole number, then 2 and 100,010,157.5 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:

1 200,020,315
-1 -200,020,315

Now, we try dividing 200,020,315 by 3:

200,020,315 ÷ 3 = 66,673,438.3333

If the quotient is a whole number, then 3 and 66,673,438.3333 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:

1 200,020,315
-1 -200,020,315

Let's try dividing by 4:

200,020,315 ÷ 4 = 50,005,078.75

If the quotient is a whole number, then 4 and 50,005,078.75 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:

1 200,020,315
-1 200,020,315
Keep dividing by the next highest number until you cannot divide anymore.

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

15111955952092776911,0451,3853,0473,4555,2637,60113,12915,23526,31538,00557,89365,645144,419191,407289,465722,095957,0352,105,4773,636,73310,527,38518,183,66540,004,063200,020,315
-1-5-11-19-55-95-209-277-691-1,045-1,385-3,047-3,455-5,263-7,601-13,129-15,235-26,315-38,005-57,893-65,645-144,419-191,407-289,465-722,095-957,035-2,105,477-3,636,733-10,527,385-18,183,665-40,004,063-200,020,315

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