Q: What are the factor combinations of the number 102,143,503?

 A:
Positive:   1 x 1021435037 x 1459192911 x 928577377 x 1326539709 x 1440671871 x 545934963 x 205817799 x 13097
Negative: -1 x -102143503-7 x -14591929-11 x -9285773-77 x -1326539-709 x -144067-1871 x -54593-4963 x -20581-7799 x -13097


How do I find the factor combinations of the number 102,143,503?

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 102,143,503, 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.

1 102,143,503
-1 -102,143,503

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 102,143,503.

Example:
1 x 102,143,503 = 102,143,503
and
-1 x -102,143,503 = 102,143,503
Notice both answers equal 102,143,503

With that explanation out of the way, let's continue. Next, we take the number 102,143,503 and divide it by 2:

102,143,503 ÷ 2 = 51,071,751.5

If the quotient is a whole number, then 2 and 51,071,751.5 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:

1 102,143,503
-1 -102,143,503

Now, we try dividing 102,143,503 by 3:

102,143,503 ÷ 3 = 34,047,834.3333

If the quotient is a whole number, then 3 and 34,047,834.3333 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:

1 102,143,503
-1 -102,143,503

Let's try dividing by 4:

102,143,503 ÷ 4 = 25,535,875.75

If the quotient is a whole number, then 4 and 25,535,875.75 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:

1 102,143,503
-1 102,143,503
Keep dividing by the next highest number until you cannot divide anymore.

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

1711777091,8714,9637,79913,09720,58154,593144,0671,326,5399,285,77314,591,929102,143,503
-1-7-11-77-709-1,871-4,963-7,799-13,097-20,581-54,593-144,067-1,326,539-9,285,773-14,591,929-102,143,503

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