Q: What are the factor combinations of the number 220,202,513?

 A:
Positive:   1 x 22020251317 x 1295308941 x 537079397 x 2270129697 x 3159291649 x 1335373257 x 676093977 x 55369
Negative: -1 x -220202513-17 x -12953089-41 x -5370793-97 x -2270129-697 x -315929-1649 x -133537-3257 x -67609-3977 x -55369


How do I find the factor combinations of the number 220,202,513?

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 220,202,513, 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.

1 220,202,513
-1 -220,202,513

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 220,202,513.

Example:
1 x 220,202,513 = 220,202,513
and
-1 x -220,202,513 = 220,202,513
Notice both answers equal 220,202,513

With that explanation out of the way, let's continue. Next, we take the number 220,202,513 and divide it by 2:

220,202,513 ÷ 2 = 110,101,256.5

If the quotient is a whole number, then 2 and 110,101,256.5 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:

1 220,202,513
-1 -220,202,513

Now, we try dividing 220,202,513 by 3:

220,202,513 ÷ 3 = 73,400,837.6667

If the quotient is a whole number, then 3 and 73,400,837.6667 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:

1 220,202,513
-1 -220,202,513

Let's try dividing by 4:

220,202,513 ÷ 4 = 55,050,628.25

If the quotient is a whole number, then 4 and 55,050,628.25 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:

1 220,202,513
-1 220,202,513
Keep dividing by the next highest number until you cannot divide anymore.

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

11741976971,6493,2573,97755,36967,609133,537315,9292,270,1295,370,79312,953,089220,202,513
-1-17-41-97-697-1,649-3,257-3,977-55,369-67,609-133,537-315,929-2,270,129-5,370,793-12,953,089-220,202,513

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