Q: What are the factor combinations of the number 540,532,421?

 A:
Positive:   1 x 54053242111 x 4913931113 x 4157941729 x 18639049143 x 3779947319 x 1694459377 x 14337734147 x 130343
Negative: -1 x -540532421-11 x -49139311-13 x -41579417-29 x -18639049-143 x -3779947-319 x -1694459-377 x -1433773-4147 x -130343


How do I find the factor combinations of the number 540,532,421?

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 540,532,421, 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.

1 540,532,421
-1 -540,532,421

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 540,532,421.

Example:
1 x 540,532,421 = 540,532,421
and
-1 x -540,532,421 = 540,532,421
Notice both answers equal 540,532,421

With that explanation out of the way, let's continue. Next, we take the number 540,532,421 and divide it by 2:

540,532,421 ÷ 2 = 270,266,210.5

If the quotient is a whole number, then 2 and 270,266,210.5 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:

1 540,532,421
-1 -540,532,421

Now, we try dividing 540,532,421 by 3:

540,532,421 ÷ 3 = 180,177,473.6667

If the quotient is a whole number, then 3 and 180,177,473.6667 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:

1 540,532,421
-1 -540,532,421

Let's try dividing by 4:

540,532,421 ÷ 4 = 135,133,105.25

If the quotient is a whole number, then 4 and 135,133,105.25 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:

1 540,532,421
-1 540,532,421
Keep dividing by the next highest number until you cannot divide anymore.

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

11113291433193774,147130,3431,433,7731,694,4593,779,94718,639,04941,579,41749,139,311540,532,421
-1-11-13-29-143-319-377-4,147-130,343-1,433,773-1,694,459-3,779,947-18,639,049-41,579,417-49,139,311-540,532,421

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