Q: What are the factor combinations of the number 137,663,705?

 A:
Positive:   1 x 1376637055 x 2753274117 x 809786547 x 292901585 x 1619573235 x 585803289 x 476345799 x 1722951445 x 952692027 x 679153995 x 3445910135 x 13583
Negative: -1 x -137663705-5 x -27532741-17 x -8097865-47 x -2929015-85 x -1619573-235 x -585803-289 x -476345-799 x -172295-1445 x -95269-2027 x -67915-3995 x -34459-10135 x -13583


How do I find the factor combinations of the number 137,663,705?

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 137,663,705, 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.

1 137,663,705
-1 -137,663,705

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 137,663,705.

Example:
1 x 137,663,705 = 137,663,705
and
-1 x -137,663,705 = 137,663,705
Notice both answers equal 137,663,705

With that explanation out of the way, let's continue. Next, we take the number 137,663,705 and divide it by 2:

137,663,705 ÷ 2 = 68,831,852.5

If the quotient is a whole number, then 2 and 68,831,852.5 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:

1 137,663,705
-1 -137,663,705

Now, we try dividing 137,663,705 by 3:

137,663,705 ÷ 3 = 45,887,901.6667

If the quotient is a whole number, then 3 and 45,887,901.6667 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:

1 137,663,705
-1 -137,663,705

Let's try dividing by 4:

137,663,705 ÷ 4 = 34,415,926.25

If the quotient is a whole number, then 4 and 34,415,926.25 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:

1 137,663,705
-1 137,663,705
Keep dividing by the next highest number until you cannot divide anymore.

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

151747852352897991,4452,0273,99510,13513,58334,45967,91595,269172,295476,345585,8031,619,5732,929,0158,097,86527,532,741137,663,705
-1-5-17-47-85-235-289-799-1,445-2,027-3,995-10,135-13,583-34,459-67,915-95,269-172,295-476,345-585,803-1,619,573-2,929,015-8,097,865-27,532,741-137,663,705

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