Q: What are the factor combinations of the number 130,171,745?

 A:
Positive:   1 x 1301717455 x 2603434911 x 1183379555 x 2366759193 x 674465965 x 1348932123 x 6131510615 x 12263
Negative: -1 x -130171745-5 x -26034349-11 x -11833795-55 x -2366759-193 x -674465-965 x -134893-2123 x -61315-10615 x -12263


How do I find the factor combinations of the number 130,171,745?

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 130,171,745, 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.

1 130,171,745
-1 -130,171,745

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 130,171,745.

Example:
1 x 130,171,745 = 130,171,745
and
-1 x -130,171,745 = 130,171,745
Notice both answers equal 130,171,745

With that explanation out of the way, let's continue. Next, we take the number 130,171,745 and divide it by 2:

130,171,745 ÷ 2 = 65,085,872.5

If the quotient is a whole number, then 2 and 65,085,872.5 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:

1 130,171,745
-1 -130,171,745

Now, we try dividing 130,171,745 by 3:

130,171,745 ÷ 3 = 43,390,581.6667

If the quotient is a whole number, then 3 and 43,390,581.6667 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:

1 130,171,745
-1 -130,171,745

Let's try dividing by 4:

130,171,745 ÷ 4 = 32,542,936.25

If the quotient is a whole number, then 4 and 32,542,936.25 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:

1 130,171,745
-1 130,171,745
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551939652,12310,61512,26361,315134,893674,4652,366,75911,833,79526,034,349130,171,745
-1-5-11-55-193-965-2,123-10,615-12,263-61,315-134,893-674,465-2,366,759-11,833,795-26,034,349-130,171,745

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