Q: What are the factor combinations of the number 127,702,315?

 A:
Positive:   1 x 1277023155 x 2554046313 x 982325565 x 196465179 x 1616485169 x 755635395 x 323297845 x 1511271027 x 1243451913 x 667555135 x 248699565 x 13351
Negative: -1 x -127702315-5 x -25540463-13 x -9823255-65 x -1964651-79 x -1616485-169 x -755635-395 x -323297-845 x -151127-1027 x -124345-1913 x -66755-5135 x -24869-9565 x -13351


How do I find the factor combinations of the number 127,702,315?

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 127,702,315, 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.

1 127,702,315
-1 -127,702,315

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 127,702,315.

Example:
1 x 127,702,315 = 127,702,315
and
-1 x -127,702,315 = 127,702,315
Notice both answers equal 127,702,315

With that explanation out of the way, let's continue. Next, we take the number 127,702,315 and divide it by 2:

127,702,315 ÷ 2 = 63,851,157.5

If the quotient is a whole number, then 2 and 63,851,157.5 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:

1 127,702,315
-1 -127,702,315

Now, we try dividing 127,702,315 by 3:

127,702,315 ÷ 3 = 42,567,438.3333

If the quotient is a whole number, then 3 and 42,567,438.3333 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:

1 127,702,315
-1 -127,702,315

Let's try dividing by 4:

127,702,315 ÷ 4 = 31,925,578.75

If the quotient is a whole number, then 4 and 31,925,578.75 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:

1 127,702,315
-1 127,702,315
Keep dividing by the next highest number until you cannot divide anymore.

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

151365791693958451,0271,9135,1359,56513,35124,86966,755124,345151,127323,297755,6351,616,4851,964,6519,823,25525,540,463127,702,315
-1-5-13-65-79-169-395-845-1,027-1,913-5,135-9,565-13,351-24,869-66,755-124,345-151,127-323,297-755,635-1,616,485-1,964,651-9,823,255-25,540,463-127,702,315

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