Q: What are the factor combinations of the number 138,513,245?

 A:
Positive:   1 x 1385132455 x 2770264913 x 1065486523 x 602231565 x 2130973115 x 1204463169 x 819605299 x 463255845 x 1639211495 x 926513887 x 356357127 x 19435
Negative: -1 x -138513245-5 x -27702649-13 x -10654865-23 x -6022315-65 x -2130973-115 x -1204463-169 x -819605-299 x -463255-845 x -163921-1495 x -92651-3887 x -35635-7127 x -19435


How do I find the factor combinations of the number 138,513,245?

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 138,513,245, 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.

1 138,513,245
-1 -138,513,245

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 138,513,245.

Example:
1 x 138,513,245 = 138,513,245
and
-1 x -138,513,245 = 138,513,245
Notice both answers equal 138,513,245

With that explanation out of the way, let's continue. Next, we take the number 138,513,245 and divide it by 2:

138,513,245 ÷ 2 = 69,256,622.5

If the quotient is a whole number, then 2 and 69,256,622.5 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:

1 138,513,245
-1 -138,513,245

Now, we try dividing 138,513,245 by 3:

138,513,245 ÷ 3 = 46,171,081.6667

If the quotient is a whole number, then 3 and 46,171,081.6667 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:

1 138,513,245
-1 -138,513,245

Let's try dividing by 4:

138,513,245 ÷ 4 = 34,628,311.25

If the quotient is a whole number, then 4 and 34,628,311.25 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:

1 138,513,245
-1 138,513,245
Keep dividing by the next highest number until you cannot divide anymore.

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

151323651151692998451,4953,8877,12719,43535,63592,651163,921463,255819,6051,204,4632,130,9736,022,31510,654,86527,702,649138,513,245
-1-5-13-23-65-115-169-299-845-1,495-3,887-7,127-19,435-35,635-92,651-163,921-463,255-819,605-1,204,463-2,130,973-6,022,315-10,654,865-27,702,649-138,513,245

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