Q: What are the factor combinations of the number 202,042,025?

 A:
Positive:   1 x 2020420255 x 4040840517 x 1188482525 x 808168185 x 2376965425 x 475393431 x 4687751103 x 1831752155 x 937555515 x 366357327 x 2757510775 x 18751
Negative: -1 x -202042025-5 x -40408405-17 x -11884825-25 x -8081681-85 x -2376965-425 x -475393-431 x -468775-1103 x -183175-2155 x -93755-5515 x -36635-7327 x -27575-10775 x -18751


How do I find the factor combinations of the number 202,042,025?

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 202,042,025, 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.

1 202,042,025
-1 -202,042,025

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 202,042,025.

Example:
1 x 202,042,025 = 202,042,025
and
-1 x -202,042,025 = 202,042,025
Notice both answers equal 202,042,025

With that explanation out of the way, let's continue. Next, we take the number 202,042,025 and divide it by 2:

202,042,025 ÷ 2 = 101,021,012.5

If the quotient is a whole number, then 2 and 101,021,012.5 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:

1 202,042,025
-1 -202,042,025

Now, we try dividing 202,042,025 by 3:

202,042,025 ÷ 3 = 67,347,341.6667

If the quotient is a whole number, then 3 and 67,347,341.6667 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:

1 202,042,025
-1 -202,042,025

Let's try dividing by 4:

202,042,025 ÷ 4 = 50,510,506.25

If the quotient is a whole number, then 4 and 50,510,506.25 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:

1 202,042,025
-1 202,042,025
Keep dividing by the next highest number until you cannot divide anymore.

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

151725854254311,1032,1555,5157,32710,77518,75127,57536,63593,755183,175468,775475,3932,376,9658,081,68111,884,82540,408,405202,042,025
-1-5-17-25-85-425-431-1,103-2,155-5,515-7,327-10,775-18,751-27,575-36,635-93,755-183,175-468,775-475,393-2,376,965-8,081,681-11,884,825-40,408,405-202,042,025

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