Q: What are the factor combinations of the number 202,721,981?

 A:
Positive:   1 x 2027219817 x 2896028311 x 1842927177 x 26327531321 x 1534611993 x 1017179247 x 2192313951 x 14531
Negative: -1 x -202721981-7 x -28960283-11 x -18429271-77 x -2632753-1321 x -153461-1993 x -101717-9247 x -21923-13951 x -14531


How do I find the factor combinations of the number 202,721,981?

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 202,721,981, 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.

1 202,721,981
-1 -202,721,981

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 202,721,981.

Example:
1 x 202,721,981 = 202,721,981
and
-1 x -202,721,981 = 202,721,981
Notice both answers equal 202,721,981

With that explanation out of the way, let's continue. Next, we take the number 202,721,981 and divide it by 2:

202,721,981 ÷ 2 = 101,360,990.5

If the quotient is a whole number, then 2 and 101,360,990.5 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:

1 202,721,981
-1 -202,721,981

Now, we try dividing 202,721,981 by 3:

202,721,981 ÷ 3 = 67,573,993.6667

If the quotient is a whole number, then 3 and 67,573,993.6667 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:

1 202,721,981
-1 -202,721,981

Let's try dividing by 4:

202,721,981 ÷ 4 = 50,680,495.25

If the quotient is a whole number, then 4 and 50,680,495.25 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:

1 202,721,981
-1 202,721,981
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771,3211,9939,24713,95114,53121,923101,717153,4612,632,75318,429,27128,960,283202,721,981
-1-7-11-77-1,321-1,993-9,247-13,951-14,531-21,923-101,717-153,461-2,632,753-18,429,271-28,960,283-202,721,981

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