Q: What are the factor combinations of the number 202,220,015?

 A:
Positive:   1 x 2022200155 x 4044400317 x 1189529585 x 237905989 x 2272135445 x 4544271513 x 1336557565 x 26731
Negative: -1 x -202220015-5 x -40444003-17 x -11895295-85 x -2379059-89 x -2272135-445 x -454427-1513 x -133655-7565 x -26731


How do I find the factor combinations of the number 202,220,015?

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 202,220,015, 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.

1 202,220,015
-1 -202,220,015

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 202,220,015.

Example:
1 x 202,220,015 = 202,220,015
and
-1 x -202,220,015 = 202,220,015
Notice both answers equal 202,220,015

With that explanation out of the way, let's continue. Next, we take the number 202,220,015 and divide it by 2:

202,220,015 ÷ 2 = 101,110,007.5

If the quotient is a whole number, then 2 and 101,110,007.5 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:

1 202,220,015
-1 -202,220,015

Now, we try dividing 202,220,015 by 3:

202,220,015 ÷ 3 = 67,406,671.6667

If the quotient is a whole number, then 3 and 67,406,671.6667 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:

1 202,220,015
-1 -202,220,015

Let's try dividing by 4:

202,220,015 ÷ 4 = 50,555,003.75

If the quotient is a whole number, then 4 and 50,555,003.75 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:

1 202,220,015
-1 202,220,015
Keep dividing by the next highest number until you cannot divide anymore.

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

151785894451,5137,56526,731133,655454,4272,272,1352,379,05911,895,29540,444,003202,220,015
-1-5-17-85-89-445-1,513-7,565-26,731-133,655-454,427-2,272,135-2,379,059-11,895,295-40,444,003-202,220,015

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