Q: What are the factor combinations of the number 587,248,165?

 A:
Positive:   1 x 5872481655 x 1174496337 x 8389259535 x 16778519181 x 3244465905 x 6488931267 x 4634956335 x 92699
Negative: -1 x -587248165-5 x -117449633-7 x -83892595-35 x -16778519-181 x -3244465-905 x -648893-1267 x -463495-6335 x -92699


How do I find the factor combinations of the number 587,248,165?

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 587,248,165, 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.

1 587,248,165
-1 -587,248,165

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 587,248,165.

Example:
1 x 587,248,165 = 587,248,165
and
-1 x -587,248,165 = 587,248,165
Notice both answers equal 587,248,165

With that explanation out of the way, let's continue. Next, we take the number 587,248,165 and divide it by 2:

587,248,165 ÷ 2 = 293,624,082.5

If the quotient is a whole number, then 2 and 293,624,082.5 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:

1 587,248,165
-1 -587,248,165

Now, we try dividing 587,248,165 by 3:

587,248,165 ÷ 3 = 195,749,388.3333

If the quotient is a whole number, then 3 and 195,749,388.3333 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:

1 587,248,165
-1 -587,248,165

Let's try dividing by 4:

587,248,165 ÷ 4 = 146,812,041.25

If the quotient is a whole number, then 4 and 146,812,041.25 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:

1 587,248,165
-1 587,248,165
Keep dividing by the next highest number until you cannot divide anymore.

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

157351819051,2676,33592,699463,495648,8933,244,46516,778,51983,892,595117,449,633587,248,165
-1-5-7-35-181-905-1,267-6,335-92,699-463,495-648,893-3,244,465-16,778,519-83,892,595-117,449,633-587,248,165

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