Q: What are the factor combinations of the number 217,685,585?

 A:
Positive:   1 x 2176855855 x 4353711713 x 1674504565 x 3349009599 x 3634152995 x 726835591 x 389357787 x 27955
Negative: -1 x -217685585-5 x -43537117-13 x -16745045-65 x -3349009-599 x -363415-2995 x -72683-5591 x -38935-7787 x -27955


How do I find the factor combinations of the number 217,685,585?

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 217,685,585, 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.

1 217,685,585
-1 -217,685,585

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 217,685,585.

Example:
1 x 217,685,585 = 217,685,585
and
-1 x -217,685,585 = 217,685,585
Notice both answers equal 217,685,585

With that explanation out of the way, let's continue. Next, we take the number 217,685,585 and divide it by 2:

217,685,585 ÷ 2 = 108,842,792.5

If the quotient is a whole number, then 2 and 108,842,792.5 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:

1 217,685,585
-1 -217,685,585

Now, we try dividing 217,685,585 by 3:

217,685,585 ÷ 3 = 72,561,861.6667

If the quotient is a whole number, then 3 and 72,561,861.6667 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:

1 217,685,585
-1 -217,685,585

Let's try dividing by 4:

217,685,585 ÷ 4 = 54,421,396.25

If the quotient is a whole number, then 4 and 54,421,396.25 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:

1 217,685,585
-1 217,685,585
Keep dividing by the next highest number until you cannot divide anymore.

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

1513655992,9955,5917,78727,95538,93572,683363,4153,349,00916,745,04543,537,117217,685,585
-1-5-13-65-599-2,995-5,591-7,787-27,955-38,935-72,683-363,415-3,349,009-16,745,045-43,537,117-217,685,585

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