Q: What are the factor combinations of the number 102,343,315?

 A:
Positive:   1 x 1023433155 x 2046866317 x 602019579 x 129548585 x 1204039395 x 2590971343 x 762056715 x 15241
Negative: -1 x -102343315-5 x -20468663-17 x -6020195-79 x -1295485-85 x -1204039-395 x -259097-1343 x -76205-6715 x -15241


How do I find the factor combinations of the number 102,343,315?

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 102,343,315, 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.

1 102,343,315
-1 -102,343,315

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 102,343,315.

Example:
1 x 102,343,315 = 102,343,315
and
-1 x -102,343,315 = 102,343,315
Notice both answers equal 102,343,315

With that explanation out of the way, let's continue. Next, we take the number 102,343,315 and divide it by 2:

102,343,315 ÷ 2 = 51,171,657.5

If the quotient is a whole number, then 2 and 51,171,657.5 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:

1 102,343,315
-1 -102,343,315

Now, we try dividing 102,343,315 by 3:

102,343,315 ÷ 3 = 34,114,438.3333

If the quotient is a whole number, then 3 and 34,114,438.3333 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:

1 102,343,315
-1 -102,343,315

Let's try dividing by 4:

102,343,315 ÷ 4 = 25,585,828.75

If the quotient is a whole number, then 4 and 25,585,828.75 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:

1 102,343,315
-1 102,343,315
Keep dividing by the next highest number until you cannot divide anymore.

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

151779853951,3436,71515,24176,205259,0971,204,0391,295,4856,020,19520,468,663102,343,315
-1-5-17-79-85-395-1,343-6,715-15,241-76,205-259,097-1,204,039-1,295,485-6,020,195-20,468,663-102,343,315

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