Q: What are the factor combinations of the number 270,060,685?

 A:
Positive:   1 x 2700606855 x 5401213731 x 8711635155 x 17423271091 x 2475351597 x 1691055455 x 495077985 x 33821
Negative: -1 x -270060685-5 x -54012137-31 x -8711635-155 x -1742327-1091 x -247535-1597 x -169105-5455 x -49507-7985 x -33821


How do I find the factor combinations of the number 270,060,685?

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 270,060,685, 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.

1 270,060,685
-1 -270,060,685

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 270,060,685.

Example:
1 x 270,060,685 = 270,060,685
and
-1 x -270,060,685 = 270,060,685
Notice both answers equal 270,060,685

With that explanation out of the way, let's continue. Next, we take the number 270,060,685 and divide it by 2:

270,060,685 ÷ 2 = 135,030,342.5

If the quotient is a whole number, then 2 and 135,030,342.5 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:

1 270,060,685
-1 -270,060,685

Now, we try dividing 270,060,685 by 3:

270,060,685 ÷ 3 = 90,020,228.3333

If the quotient is a whole number, then 3 and 90,020,228.3333 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:

1 270,060,685
-1 -270,060,685

Let's try dividing by 4:

270,060,685 ÷ 4 = 67,515,171.25

If the quotient is a whole number, then 4 and 67,515,171.25 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:

1 270,060,685
-1 270,060,685
Keep dividing by the next highest number until you cannot divide anymore.

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

15311551,0911,5975,4557,98533,82149,507169,105247,5351,742,3278,711,63554,012,137270,060,685
-1-5-31-155-1,091-1,597-5,455-7,985-33,821-49,507-169,105-247,535-1,742,327-8,711,635-54,012,137-270,060,685

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