Q: What are the factor combinations of the number 542,174,435?

 A:
Positive:   1 x 5421744355 x 10843488711 x 4928858555 x 98577171861 x 2913355297 x 1023559305 x 5826720471 x 26485
Negative: -1 x -542174435-5 x -108434887-11 x -49288585-55 x -9857717-1861 x -291335-5297 x -102355-9305 x -58267-20471 x -26485


How do I find the factor combinations of the number 542,174,435?

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 542,174,435, 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.

1 542,174,435
-1 -542,174,435

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 542,174,435.

Example:
1 x 542,174,435 = 542,174,435
and
-1 x -542,174,435 = 542,174,435
Notice both answers equal 542,174,435

With that explanation out of the way, let's continue. Next, we take the number 542,174,435 and divide it by 2:

542,174,435 ÷ 2 = 271,087,217.5

If the quotient is a whole number, then 2 and 271,087,217.5 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:

1 542,174,435
-1 -542,174,435

Now, we try dividing 542,174,435 by 3:

542,174,435 ÷ 3 = 180,724,811.6667

If the quotient is a whole number, then 3 and 180,724,811.6667 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:

1 542,174,435
-1 -542,174,435

Let's try dividing by 4:

542,174,435 ÷ 4 = 135,543,608.75

If the quotient is a whole number, then 4 and 135,543,608.75 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:

1 542,174,435
-1 542,174,435
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551,8615,2979,30520,47126,48558,267102,355291,3359,857,71749,288,585108,434,887542,174,435
-1-5-11-55-1,861-5,297-9,305-20,471-26,485-58,267-102,355-291,335-9,857,717-49,288,585-108,434,887-542,174,435

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