Q: What are the factor combinations of the number 540,068,659?

 A:
Positive:   1 x 54006865913 x 41543743137 x 3942107263 x 20534931153 x 4684031781 x 3032393419 x 15796114989 x 36031
Negative: -1 x -540068659-13 x -41543743-137 x -3942107-263 x -2053493-1153 x -468403-1781 x -303239-3419 x -157961-14989 x -36031


How do I find the factor combinations of the number 540,068,659?

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 540,068,659, 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.

1 540,068,659
-1 -540,068,659

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 540,068,659.

Example:
1 x 540,068,659 = 540,068,659
and
-1 x -540,068,659 = 540,068,659
Notice both answers equal 540,068,659

With that explanation out of the way, let's continue. Next, we take the number 540,068,659 and divide it by 2:

540,068,659 ÷ 2 = 270,034,329.5

If the quotient is a whole number, then 2 and 270,034,329.5 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:

1 540,068,659
-1 -540,068,659

Now, we try dividing 540,068,659 by 3:

540,068,659 ÷ 3 = 180,022,886.3333

If the quotient is a whole number, then 3 and 180,022,886.3333 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:

1 540,068,659
-1 -540,068,659

Let's try dividing by 4:

540,068,659 ÷ 4 = 135,017,164.75

If the quotient is a whole number, then 4 and 135,017,164.75 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:

1 540,068,659
-1 540,068,659
Keep dividing by the next highest number until you cannot divide anymore.

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

1131372631,1531,7813,41914,98936,031157,961303,239468,4032,053,4933,942,10741,543,743540,068,659
-1-13-137-263-1,153-1,781-3,419-14,989-36,031-157,961-303,239-468,403-2,053,493-3,942,107-41,543,743-540,068,659

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