Q: What are the factor combinations of the number 20,020,325?

 A:
Positive:   1 x 200203255 x 400406513 x 154002525 x 80081365 x 308005229 x 87425269 x 74425325 x 616011145 x 174851345 x 148852977 x 67253497 x 5725
Negative: -1 x -20020325-5 x -4004065-13 x -1540025-25 x -800813-65 x -308005-229 x -87425-269 x -74425-325 x -61601-1145 x -17485-1345 x -14885-2977 x -6725-3497 x -5725


How do I find the factor combinations of the number 20,020,325?

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 20,020,325, 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 20,020,325
-1 -20,020,325

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 20,020,325.

Example:
1 x 20,020,325 = 20,020,325
and
-1 x -20,020,325 = 20,020,325
Notice both answers equal 20,020,325

With that explanation out of the way, let's continue. Next, we take the number 20,020,325 and divide it by 2:

20,020,325 ÷ 2 = 10,010,162.5

If the quotient is a whole number, then 2 and 10,010,162.5 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 20,020,325
-1 -20,020,325

Now, we try dividing 20,020,325 by 3:

20,020,325 ÷ 3 = 6,673,441.6667

If the quotient is a whole number, then 3 and 6,673,441.6667 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 20,020,325
-1 -20,020,325

Let's try dividing by 4:

20,020,325 ÷ 4 = 5,005,081.25

If the quotient is a whole number, then 4 and 5,005,081.25 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 20,020,325
-1 20,020,325
Keep dividing by the next highest number until you cannot divide anymore.

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

151325652292693251,1451,3452,9773,4975,7256,72514,88517,48561,60174,42587,425308,005800,8131,540,0254,004,06520,020,325
-1-5-13-25-65-229-269-325-1,145-1,345-2,977-3,497-5,725-6,725-14,885-17,485-61,601-74,425-87,425-308,005-800,813-1,540,025-4,004,065-20,020,325

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