Q: What are the factor combinations of the number 137,382,035?

 A:
Positive:   1 x 1373820355 x 274764077 x 1962600535 x 392520149 x 2803715245 x 560743683 x 201145821 x 1673353415 x 402294105 x 334674781 x 287355747 x 23905
Negative: -1 x -137382035-5 x -27476407-7 x -19626005-35 x -3925201-49 x -2803715-245 x -560743-683 x -201145-821 x -167335-3415 x -40229-4105 x -33467-4781 x -28735-5747 x -23905


How do I find the factor combinations of the number 137,382,035?

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 137,382,035, 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.

1 137,382,035
-1 -137,382,035

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 137,382,035.

Example:
1 x 137,382,035 = 137,382,035
and
-1 x -137,382,035 = 137,382,035
Notice both answers equal 137,382,035

With that explanation out of the way, let's continue. Next, we take the number 137,382,035 and divide it by 2:

137,382,035 ÷ 2 = 68,691,017.5

If the quotient is a whole number, then 2 and 68,691,017.5 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:

1 137,382,035
-1 -137,382,035

Now, we try dividing 137,382,035 by 3:

137,382,035 ÷ 3 = 45,794,011.6667

If the quotient is a whole number, then 3 and 45,794,011.6667 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:

1 137,382,035
-1 -137,382,035

Let's try dividing by 4:

137,382,035 ÷ 4 = 34,345,508.75

If the quotient is a whole number, then 4 and 34,345,508.75 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:

1 137,382,035
-1 137,382,035
Keep dividing by the next highest number until you cannot divide anymore.

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

15735492456838213,4154,1054,7815,74723,90528,73533,46740,229167,335201,145560,7432,803,7153,925,20119,626,00527,476,407137,382,035
-1-5-7-35-49-245-683-821-3,415-4,105-4,781-5,747-23,905-28,735-33,467-40,229-167,335-201,145-560,743-2,803,715-3,925,201-19,626,005-27,476,407-137,382,035

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