Q: What are the factor combinations of the number 270,732,625?

 A:
Positive:   1 x 2707326255 x 5414652525 x 10829305125 x 2165861563 x 4808752815 x 961753847 x 7037514075 x 19235
Negative: -1 x -270732625-5 x -54146525-25 x -10829305-125 x -2165861-563 x -480875-2815 x -96175-3847 x -70375-14075 x -19235


How do I find the factor combinations of the number 270,732,625?

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 270,732,625, 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.

1 270,732,625
-1 -270,732,625

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 270,732,625.

Example:
1 x 270,732,625 = 270,732,625
and
-1 x -270,732,625 = 270,732,625
Notice both answers equal 270,732,625

With that explanation out of the way, let's continue. Next, we take the number 270,732,625 and divide it by 2:

270,732,625 ÷ 2 = 135,366,312.5

If the quotient is a whole number, then 2 and 135,366,312.5 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:

1 270,732,625
-1 -270,732,625

Now, we try dividing 270,732,625 by 3:

270,732,625 ÷ 3 = 90,244,208.3333

If the quotient is a whole number, then 3 and 90,244,208.3333 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:

1 270,732,625
-1 -270,732,625

Let's try dividing by 4:

270,732,625 ÷ 4 = 67,683,156.25

If the quotient is a whole number, then 4 and 67,683,156.25 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:

1 270,732,625
-1 270,732,625
Keep dividing by the next highest number until you cannot divide anymore.

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

15251255632,8153,84714,07519,23570,37596,175480,8752,165,86110,829,30554,146,525270,732,625
-1-5-25-125-563-2,815-3,847-14,075-19,235-70,375-96,175-480,875-2,165,861-10,829,305-54,146,525-270,732,625

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