Q: What are the factor combinations of the number 220,361,603?

 A:
Positive:   1 x 2203616037 x 3148022911 x 2003287337 x 595571977 x 2861839259 x 850817407 x 5414292849 x 77347
Negative: -1 x -220361603-7 x -31480229-11 x -20032873-37 x -5955719-77 x -2861839-259 x -850817-407 x -541429-2849 x -77347


How do I find the factor combinations of the number 220,361,603?

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 220,361,603, 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.

1 220,361,603
-1 -220,361,603

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 220,361,603.

Example:
1 x 220,361,603 = 220,361,603
and
-1 x -220,361,603 = 220,361,603
Notice both answers equal 220,361,603

With that explanation out of the way, let's continue. Next, we take the number 220,361,603 and divide it by 2:

220,361,603 ÷ 2 = 110,180,801.5

If the quotient is a whole number, then 2 and 110,180,801.5 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:

1 220,361,603
-1 -220,361,603

Now, we try dividing 220,361,603 by 3:

220,361,603 ÷ 3 = 73,453,867.6667

If the quotient is a whole number, then 3 and 73,453,867.6667 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:

1 220,361,603
-1 -220,361,603

Let's try dividing by 4:

220,361,603 ÷ 4 = 55,090,400.75

If the quotient is a whole number, then 4 and 55,090,400.75 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:

1 220,361,603
-1 220,361,603
Keep dividing by the next highest number until you cannot divide anymore.

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

171137772594072,84977,347541,429850,8172,861,8395,955,71920,032,87331,480,229220,361,603
-1-7-11-37-77-259-407-2,849-77,347-541,429-850,817-2,861,839-5,955,719-20,032,873-31,480,229-220,361,603

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