Q: What are the factor combinations of the number 542,436,301?

 A:
Positive:   1 x 54243630111 x 4931239119 x 2854927923 x 23584187209 x 2595389253 x 2144017437 x 12412734807 x 112843
Negative: -1 x -542436301-11 x -49312391-19 x -28549279-23 x -23584187-209 x -2595389-253 x -2144017-437 x -1241273-4807 x -112843


How do I find the factor combinations of the number 542,436,301?

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 542,436,301, 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.

1 542,436,301
-1 -542,436,301

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 542,436,301.

Example:
1 x 542,436,301 = 542,436,301
and
-1 x -542,436,301 = 542,436,301
Notice both answers equal 542,436,301

With that explanation out of the way, let's continue. Next, we take the number 542,436,301 and divide it by 2:

542,436,301 ÷ 2 = 271,218,150.5

If the quotient is a whole number, then 2 and 271,218,150.5 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:

1 542,436,301
-1 -542,436,301

Now, we try dividing 542,436,301 by 3:

542,436,301 ÷ 3 = 180,812,100.3333

If the quotient is a whole number, then 3 and 180,812,100.3333 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:

1 542,436,301
-1 -542,436,301

Let's try dividing by 4:

542,436,301 ÷ 4 = 135,609,075.25

If the quotient is a whole number, then 4 and 135,609,075.25 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:

1 542,436,301
-1 542,436,301
Keep dividing by the next highest number until you cannot divide anymore.

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

11119232092534374,807112,8431,241,2732,144,0172,595,38923,584,18728,549,27949,312,391542,436,301
-1-11-19-23-209-253-437-4,807-112,843-1,241,273-2,144,017-2,595,389-23,584,187-28,549,279-49,312,391-542,436,301

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