Q: What are the factor combinations of the number 272,632,835?

 A:
Positive:   1 x 2726328355 x 5452656737 x 7368455101 x 2699335185 x 1473691505 x 5398673737 x 7295514591 x 18685
Negative: -1 x -272632835-5 x -54526567-37 x -7368455-101 x -2699335-185 x -1473691-505 x -539867-3737 x -72955-14591 x -18685


How do I find the factor combinations of the number 272,632,835?

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 272,632,835, 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.

1 272,632,835
-1 -272,632,835

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 272,632,835.

Example:
1 x 272,632,835 = 272,632,835
and
-1 x -272,632,835 = 272,632,835
Notice both answers equal 272,632,835

With that explanation out of the way, let's continue. Next, we take the number 272,632,835 and divide it by 2:

272,632,835 ÷ 2 = 136,316,417.5

If the quotient is a whole number, then 2 and 136,316,417.5 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:

1 272,632,835
-1 -272,632,835

Now, we try dividing 272,632,835 by 3:

272,632,835 ÷ 3 = 90,877,611.6667

If the quotient is a whole number, then 3 and 90,877,611.6667 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:

1 272,632,835
-1 -272,632,835

Let's try dividing by 4:

272,632,835 ÷ 4 = 68,158,208.75

If the quotient is a whole number, then 4 and 68,158,208.75 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:

1 272,632,835
-1 272,632,835
Keep dividing by the next highest number until you cannot divide anymore.

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

15371011855053,73714,59118,68572,955539,8671,473,6912,699,3357,368,45554,526,567272,632,835
-1-5-37-101-185-505-3,737-14,591-18,685-72,955-539,867-1,473,691-2,699,335-7,368,455-54,526,567-272,632,835

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