Q: What are the factor combinations of the number 137,185,325?

 A:
Positive:   1 x 1371853255 x 2743706517 x 806972525 x 548741359 x 232517585 x 1613945295 x 465035425 x 3227891003 x 1367751475 x 930075015 x 273555471 x 25075
Negative: -1 x -137185325-5 x -27437065-17 x -8069725-25 x -5487413-59 x -2325175-85 x -1613945-295 x -465035-425 x -322789-1003 x -136775-1475 x -93007-5015 x -27355-5471 x -25075


How do I find the factor combinations of the number 137,185,325?

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 137,185,325, 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.

1 137,185,325
-1 -137,185,325

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 137,185,325.

Example:
1 x 137,185,325 = 137,185,325
and
-1 x -137,185,325 = 137,185,325
Notice both answers equal 137,185,325

With that explanation out of the way, let's continue. Next, we take the number 137,185,325 and divide it by 2:

137,185,325 ÷ 2 = 68,592,662.5

If the quotient is a whole number, then 2 and 68,592,662.5 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:

1 137,185,325
-1 -137,185,325

Now, we try dividing 137,185,325 by 3:

137,185,325 ÷ 3 = 45,728,441.6667

If the quotient is a whole number, then 3 and 45,728,441.6667 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:

1 137,185,325
-1 -137,185,325

Let's try dividing by 4:

137,185,325 ÷ 4 = 34,296,331.25

If the quotient is a whole number, then 4 and 34,296,331.25 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:

1 137,185,325
-1 137,185,325
Keep dividing by the next highest number until you cannot divide anymore.

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

15172559852954251,0031,4755,0155,47125,07527,35593,007136,775322,789465,0351,613,9452,325,1755,487,4138,069,72527,437,065137,185,325
-1-5-17-25-59-85-295-425-1,003-1,475-5,015-5,471-25,075-27,355-93,007-136,775-322,789-465,035-1,613,945-2,325,175-5,487,413-8,069,725-27,437,065-137,185,325

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