Q: What are the factor combinations of the number 202,426,055?

 A:
Positive:   1 x 2024260555 x 4048521113 x 1557123517 x 1190741565 x 311424785 x 2381483221 x 9159551105 x 183191
Negative: -1 x -202426055-5 x -40485211-13 x -15571235-17 x -11907415-65 x -3114247-85 x -2381483-221 x -915955-1105 x -183191


How do I find the factor combinations of the number 202,426,055?

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 202,426,055, 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.

1 202,426,055
-1 -202,426,055

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 202,426,055.

Example:
1 x 202,426,055 = 202,426,055
and
-1 x -202,426,055 = 202,426,055
Notice both answers equal 202,426,055

With that explanation out of the way, let's continue. Next, we take the number 202,426,055 and divide it by 2:

202,426,055 ÷ 2 = 101,213,027.5

If the quotient is a whole number, then 2 and 101,213,027.5 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:

1 202,426,055
-1 -202,426,055

Now, we try dividing 202,426,055 by 3:

202,426,055 ÷ 3 = 67,475,351.6667

If the quotient is a whole number, then 3 and 67,475,351.6667 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:

1 202,426,055
-1 -202,426,055

Let's try dividing by 4:

202,426,055 ÷ 4 = 50,606,513.75

If the quotient is a whole number, then 4 and 50,606,513.75 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:

1 202,426,055
-1 202,426,055
Keep dividing by the next highest number until you cannot divide anymore.

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

15131765852211,105183,191915,9552,381,4833,114,24711,907,41515,571,23540,485,211202,426,055
-1-5-13-17-65-85-221-1,105-183,191-915,955-2,381,483-3,114,247-11,907,415-15,571,235-40,485,211-202,426,055

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