Q: What are the factor combinations of the number 368,576,585?

 A:
Positive:   1 x 3685765855 x 7371531713 x 2835204547 x 784205565 x 5670409235 x 1568411611 x 6032353055 x 120647
Negative: -1 x -368576585-5 x -73715317-13 x -28352045-47 x -7842055-65 x -5670409-235 x -1568411-611 x -603235-3055 x -120647


How do I find the factor combinations of the number 368,576,585?

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 368,576,585, 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.

1 368,576,585
-1 -368,576,585

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 368,576,585.

Example:
1 x 368,576,585 = 368,576,585
and
-1 x -368,576,585 = 368,576,585
Notice both answers equal 368,576,585

With that explanation out of the way, let's continue. Next, we take the number 368,576,585 and divide it by 2:

368,576,585 ÷ 2 = 184,288,292.5

If the quotient is a whole number, then 2 and 184,288,292.5 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:

1 368,576,585
-1 -368,576,585

Now, we try dividing 368,576,585 by 3:

368,576,585 ÷ 3 = 122,858,861.6667

If the quotient is a whole number, then 3 and 122,858,861.6667 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:

1 368,576,585
-1 -368,576,585

Let's try dividing by 4:

368,576,585 ÷ 4 = 92,144,146.25

If the quotient is a whole number, then 4 and 92,144,146.25 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:

1 368,576,585
-1 368,576,585
Keep dividing by the next highest number until you cannot divide anymore.

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

151347652356113,055120,647603,2351,568,4115,670,4097,842,05528,352,04573,715,317368,576,585
-1-5-13-47-65-235-611-3,055-120,647-603,235-1,568,411-5,670,409-7,842,055-28,352,045-73,715,317-368,576,585

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