Q: What are the factor combinations of the number 130,731,575?

 A:
Positive:   1 x 1307315755 x 2614631513 x 1005627525 x 522926341 x 318857565 x 2011255205 x 637715325 x 402251533 x 2452751025 x 1275432665 x 490559811 x 13325
Negative: -1 x -130731575-5 x -26146315-13 x -10056275-25 x -5229263-41 x -3188575-65 x -2011255-205 x -637715-325 x -402251-533 x -245275-1025 x -127543-2665 x -49055-9811 x -13325


How do I find the factor combinations of the number 130,731,575?

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 130,731,575, 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.

1 130,731,575
-1 -130,731,575

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 130,731,575.

Example:
1 x 130,731,575 = 130,731,575
and
-1 x -130,731,575 = 130,731,575
Notice both answers equal 130,731,575

With that explanation out of the way, let's continue. Next, we take the number 130,731,575 and divide it by 2:

130,731,575 ÷ 2 = 65,365,787.5

If the quotient is a whole number, then 2 and 65,365,787.5 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:

1 130,731,575
-1 -130,731,575

Now, we try dividing 130,731,575 by 3:

130,731,575 ÷ 3 = 43,577,191.6667

If the quotient is a whole number, then 3 and 43,577,191.6667 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:

1 130,731,575
-1 -130,731,575

Let's try dividing by 4:

130,731,575 ÷ 4 = 32,682,893.75

If the quotient is a whole number, then 4 and 32,682,893.75 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:

1 130,731,575
-1 130,731,575
Keep dividing by the next highest number until you cannot divide anymore.

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

15132541652053255331,0252,6659,81113,32549,055127,543245,275402,251637,7152,011,2553,188,5755,229,26310,056,27526,146,315130,731,575
-1-5-13-25-41-65-205-325-533-1,025-2,665-9,811-13,325-49,055-127,543-245,275-402,251-637,715-2,011,255-3,188,575-5,229,263-10,056,275-26,146,315-130,731,575

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