Q: What are the factor combinations of the number 270,686,575?

 A:
Positive:   1 x 2706865755 x 5413731525 x 1082746331 x 8731825103 x 2628025155 x 1746365515 x 525605775 x 3492732575 x 1051213193 x 847753391 x 7982515965 x 16955
Negative: -1 x -270686575-5 x -54137315-25 x -10827463-31 x -8731825-103 x -2628025-155 x -1746365-515 x -525605-775 x -349273-2575 x -105121-3193 x -84775-3391 x -79825-15965 x -16955


How do I find the factor combinations of the number 270,686,575?

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 270,686,575, 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.

1 270,686,575
-1 -270,686,575

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 270,686,575.

Example:
1 x 270,686,575 = 270,686,575
and
-1 x -270,686,575 = 270,686,575
Notice both answers equal 270,686,575

With that explanation out of the way, let's continue. Next, we take the number 270,686,575 and divide it by 2:

270,686,575 ÷ 2 = 135,343,287.5

If the quotient is a whole number, then 2 and 135,343,287.5 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:

1 270,686,575
-1 -270,686,575

Now, we try dividing 270,686,575 by 3:

270,686,575 ÷ 3 = 90,228,858.3333

If the quotient is a whole number, then 3 and 90,228,858.3333 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:

1 270,686,575
-1 -270,686,575

Let's try dividing by 4:

270,686,575 ÷ 4 = 67,671,643.75

If the quotient is a whole number, then 4 and 67,671,643.75 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:

1 270,686,575
-1 270,686,575
Keep dividing by the next highest number until you cannot divide anymore.

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

1525311031555157752,5753,1933,39115,96516,95579,82584,775105,121349,273525,6051,746,3652,628,0258,731,82510,827,46354,137,315270,686,575
-1-5-25-31-103-155-515-775-2,575-3,193-3,391-15,965-16,955-79,825-84,775-105,121-349,273-525,605-1,746,365-2,628,025-8,731,825-10,827,463-54,137,315-270,686,575

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