Q: What are the factor combinations of the number 202,425,139?

 A:
Positive:   1 x 2024251397 x 2891787723 x 8801093161 x 1257299397 x 5098872779 x 728413167 x 639179131 x 22169
Negative: -1 x -202425139-7 x -28917877-23 x -8801093-161 x -1257299-397 x -509887-2779 x -72841-3167 x -63917-9131 x -22169


How do I find the factor combinations of the number 202,425,139?

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 202,425,139, 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.

1 202,425,139
-1 -202,425,139

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 202,425,139.

Example:
1 x 202,425,139 = 202,425,139
and
-1 x -202,425,139 = 202,425,139
Notice both answers equal 202,425,139

With that explanation out of the way, let's continue. Next, we take the number 202,425,139 and divide it by 2:

202,425,139 ÷ 2 = 101,212,569.5

If the quotient is a whole number, then 2 and 101,212,569.5 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:

1 202,425,139
-1 -202,425,139

Now, we try dividing 202,425,139 by 3:

202,425,139 ÷ 3 = 67,475,046.3333

If the quotient is a whole number, then 3 and 67,475,046.3333 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:

1 202,425,139
-1 -202,425,139

Let's try dividing by 4:

202,425,139 ÷ 4 = 50,606,284.75

If the quotient is a whole number, then 4 and 50,606,284.75 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:

1 202,425,139
-1 202,425,139
Keep dividing by the next highest number until you cannot divide anymore.

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

17231613972,7793,1679,13122,16963,91772,841509,8871,257,2998,801,09328,917,877202,425,139
-1-7-23-161-397-2,779-3,167-9,131-22,169-63,917-72,841-509,887-1,257,299-8,801,093-28,917,877-202,425,139

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