Q: What are the factor combinations of the number 364,044,005?

 A:
Positive:   1 x 3640440055 x 7280880113 x 2800338531 x 1174335565 x 5600677155 x 2348671403 x 9033352015 x 180667
Negative: -1 x -364044005-5 x -72808801-13 x -28003385-31 x -11743355-65 x -5600677-155 x -2348671-403 x -903335-2015 x -180667


How do I find the factor combinations of the number 364,044,005?

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 364,044,005, 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.

1 364,044,005
-1 -364,044,005

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 364,044,005.

Example:
1 x 364,044,005 = 364,044,005
and
-1 x -364,044,005 = 364,044,005
Notice both answers equal 364,044,005

With that explanation out of the way, let's continue. Next, we take the number 364,044,005 and divide it by 2:

364,044,005 ÷ 2 = 182,022,002.5

If the quotient is a whole number, then 2 and 182,022,002.5 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:

1 364,044,005
-1 -364,044,005

Now, we try dividing 364,044,005 by 3:

364,044,005 ÷ 3 = 121,348,001.6667

If the quotient is a whole number, then 3 and 121,348,001.6667 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:

1 364,044,005
-1 -364,044,005

Let's try dividing by 4:

364,044,005 ÷ 4 = 91,011,001.25

If the quotient is a whole number, then 4 and 91,011,001.25 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:

1 364,044,005
-1 364,044,005
Keep dividing by the next highest number until you cannot divide anymore.

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

151331651554032,015180,667903,3352,348,6715,600,67711,743,35528,003,38572,808,801364,044,005
-1-5-13-31-65-155-403-2,015-180,667-903,335-2,348,671-5,600,677-11,743,355-28,003,385-72,808,801-364,044,005

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