Q: What are the factor combinations of the number 102,125,875?

 A:
Positive:   1 x 1021258755 x 2042517525 x 408503541 x 2490875125 x 817007205 x 4981751025 x 996355125 x 19927
Negative: -1 x -102125875-5 x -20425175-25 x -4085035-41 x -2490875-125 x -817007-205 x -498175-1025 x -99635-5125 x -19927


How do I find the factor combinations of the number 102,125,875?

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 102,125,875, 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.

1 102,125,875
-1 -102,125,875

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 102,125,875.

Example:
1 x 102,125,875 = 102,125,875
and
-1 x -102,125,875 = 102,125,875
Notice both answers equal 102,125,875

With that explanation out of the way, let's continue. Next, we take the number 102,125,875 and divide it by 2:

102,125,875 ÷ 2 = 51,062,937.5

If the quotient is a whole number, then 2 and 51,062,937.5 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:

1 102,125,875
-1 -102,125,875

Now, we try dividing 102,125,875 by 3:

102,125,875 ÷ 3 = 34,041,958.3333

If the quotient is a whole number, then 3 and 34,041,958.3333 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:

1 102,125,875
-1 -102,125,875

Let's try dividing by 4:

102,125,875 ÷ 4 = 25,531,468.75

If the quotient is a whole number, then 4 and 25,531,468.75 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:

1 102,125,875
-1 102,125,875
Keep dividing by the next highest number until you cannot divide anymore.

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

1525411252051,0255,12519,92799,635498,175817,0072,490,8754,085,03520,425,175102,125,875
-1-5-25-41-125-205-1,025-5,125-19,927-99,635-498,175-817,007-2,490,875-4,085,035-20,425,175-102,125,875

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