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

 A:
Positive:   1 x 2002003155 x 400400637 x 2860004535 x 57200092237 x 894952557 x 7829511185 x 1789912785 x 15659
Negative: -1 x -200200315-5 x -40040063-7 x -28600045-35 x -5720009-2237 x -89495-2557 x -78295-11185 x -17899-12785 x -15659


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

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 200,200,315, 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.

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

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 200,200,315.

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

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

200,200,315 ÷ 2 = 100,100,157.5

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

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

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

200,200,315 ÷ 3 = 66,733,438.3333

If the quotient is a whole number, then 3 and 66,733,438.3333 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:

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

Let's try dividing by 4:

200,200,315 ÷ 4 = 50,050,078.75

If the quotient is a whole number, then 4 and 50,050,078.75 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:

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

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

157352,2372,55711,18512,78515,65917,89978,29589,4955,720,00928,600,04540,040,063200,200,315
-1-5-7-35-2,237-2,557-11,185-12,785-15,659-17,899-78,295-89,495-5,720,009-28,600,045-40,040,063-200,200,315

More Examples

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