Q: What are the factor combinations of the number 230,020,021?

 A:
Positive:   1 x 2300200217 x 3286000311 x 2091091147 x 489404377 x 2987273329 x 699149517 x 4449133619 x 63559
Negative: -1 x -230020021-7 x -32860003-11 x -20910911-47 x -4894043-77 x -2987273-329 x -699149-517 x -444913-3619 x -63559


How do I find the factor combinations of the number 230,020,021?

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 230,020,021, 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.

1 230,020,021
-1 -230,020,021

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 230,020,021.

Example:
1 x 230,020,021 = 230,020,021
and
-1 x -230,020,021 = 230,020,021
Notice both answers equal 230,020,021

With that explanation out of the way, let's continue. Next, we take the number 230,020,021 and divide it by 2:

230,020,021 ÷ 2 = 115,010,010.5

If the quotient is a whole number, then 2 and 115,010,010.5 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:

1 230,020,021
-1 -230,020,021

Now, we try dividing 230,020,021 by 3:

230,020,021 ÷ 3 = 76,673,340.3333

If the quotient is a whole number, then 3 and 76,673,340.3333 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:

1 230,020,021
-1 -230,020,021

Let's try dividing by 4:

230,020,021 ÷ 4 = 57,505,005.25

If the quotient is a whole number, then 4 and 57,505,005.25 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:

1 230,020,021
-1 230,020,021
Keep dividing by the next highest number until you cannot divide anymore.

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

171147773295173,61963,559444,913699,1492,987,2734,894,04320,910,91132,860,003230,020,021
-1-7-11-47-77-329-517-3,619-63,559-444,913-699,149-2,987,273-4,894,043-20,910,911-32,860,003-230,020,021

More Examples

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