Q: What are the factor combinations of the number 364,085,891?

 A:
Positive:   1 x 36408589113 x 2800660783 x 4386577263 x 13843571079 x 3374291283 x 2837773419 x 10648916679 x 21829
Negative: -1 x -364085891-13 x -28006607-83 x -4386577-263 x -1384357-1079 x -337429-1283 x -283777-3419 x -106489-16679 x -21829


How do I find the factor combinations of the number 364,085,891?

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 364,085,891, 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.

1 364,085,891
-1 -364,085,891

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 364,085,891.

Example:
1 x 364,085,891 = 364,085,891
and
-1 x -364,085,891 = 364,085,891
Notice both answers equal 364,085,891

With that explanation out of the way, let's continue. Next, we take the number 364,085,891 and divide it by 2:

364,085,891 ÷ 2 = 182,042,945.5

If the quotient is a whole number, then 2 and 182,042,945.5 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:

1 364,085,891
-1 -364,085,891

Now, we try dividing 364,085,891 by 3:

364,085,891 ÷ 3 = 121,361,963.6667

If the quotient is a whole number, then 3 and 121,361,963.6667 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:

1 364,085,891
-1 -364,085,891

Let's try dividing by 4:

364,085,891 ÷ 4 = 91,021,472.75

If the quotient is a whole number, then 4 and 91,021,472.75 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:

1 364,085,891
-1 364,085,891
Keep dividing by the next highest number until you cannot divide anymore.

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

113832631,0791,2833,41916,67921,829106,489283,777337,4291,384,3574,386,57728,006,607364,085,891
-1-13-83-263-1,079-1,283-3,419-16,679-21,829-106,489-283,777-337,429-1,384,357-4,386,577-28,006,607-364,085,891

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