Q: What are the factor combinations of the number 207,271,555?

 A:
Positive:   1 x 2072715555 x 4145431129 x 7147295145 x 1429459239 x 8672451195 x 1734495981 x 346556931 x 29905
Negative: -1 x -207271555-5 x -41454311-29 x -7147295-145 x -1429459-239 x -867245-1195 x -173449-5981 x -34655-6931 x -29905


How do I find the factor combinations of the number 207,271,555?

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 207,271,555, 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.

1 207,271,555
-1 -207,271,555

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 207,271,555.

Example:
1 x 207,271,555 = 207,271,555
and
-1 x -207,271,555 = 207,271,555
Notice both answers equal 207,271,555

With that explanation out of the way, let's continue. Next, we take the number 207,271,555 and divide it by 2:

207,271,555 ÷ 2 = 103,635,777.5

If the quotient is a whole number, then 2 and 103,635,777.5 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:

1 207,271,555
-1 -207,271,555

Now, we try dividing 207,271,555 by 3:

207,271,555 ÷ 3 = 69,090,518.3333

If the quotient is a whole number, then 3 and 69,090,518.3333 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:

1 207,271,555
-1 -207,271,555

Let's try dividing by 4:

207,271,555 ÷ 4 = 51,817,888.75

If the quotient is a whole number, then 4 and 51,817,888.75 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:

1 207,271,555
-1 207,271,555
Keep dividing by the next highest number until you cannot divide anymore.

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

15291452391,1955,9816,93129,90534,655173,449867,2451,429,4597,147,29541,454,311207,271,555
-1-5-29-145-239-1,195-5,981-6,931-29,905-34,655-173,449-867,245-1,429,459-7,147,295-41,454,311-207,271,555

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