Q: What are the factor combinations of the number 130,140,023?

 A:
Positive:   1 x 13014002313 x 1001077129 x 448758761 x 2133443377 x 345199793 x 1641111769 x 735675659 x 22997
Negative: -1 x -130140023-13 x -10010771-29 x -4487587-61 x -2133443-377 x -345199-793 x -164111-1769 x -73567-5659 x -22997


How do I find the factor combinations of the number 130,140,023?

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 130,140,023, 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.

1 130,140,023
-1 -130,140,023

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 130,140,023.

Example:
1 x 130,140,023 = 130,140,023
and
-1 x -130,140,023 = 130,140,023
Notice both answers equal 130,140,023

With that explanation out of the way, let's continue. Next, we take the number 130,140,023 and divide it by 2:

130,140,023 ÷ 2 = 65,070,011.5

If the quotient is a whole number, then 2 and 65,070,011.5 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:

1 130,140,023
-1 -130,140,023

Now, we try dividing 130,140,023 by 3:

130,140,023 ÷ 3 = 43,380,007.6667

If the quotient is a whole number, then 3 and 43,380,007.6667 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:

1 130,140,023
-1 -130,140,023

Let's try dividing by 4:

130,140,023 ÷ 4 = 32,535,005.75

If the quotient is a whole number, then 4 and 32,535,005.75 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:

1 130,140,023
-1 130,140,023
Keep dividing by the next highest number until you cannot divide anymore.

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

11329613777931,7695,65922,99773,567164,111345,1992,133,4434,487,58710,010,771130,140,023
-1-13-29-61-377-793-1,769-5,659-22,997-73,567-164,111-345,199-2,133,443-4,487,587-10,010,771-130,140,023

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