Q: What are the factor combinations of the number 106,316,285?

 A:
Positive:   1 x 1063162855 x 2126325789 x 1194565173 x 614545445 x 238913865 x 1229091381 x 769856905 x 15397
Negative: -1 x -106316285-5 x -21263257-89 x -1194565-173 x -614545-445 x -238913-865 x -122909-1381 x -76985-6905 x -15397


How do I find the factor combinations of the number 106,316,285?

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 106,316,285, 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.

1 106,316,285
-1 -106,316,285

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 106,316,285.

Example:
1 x 106,316,285 = 106,316,285
and
-1 x -106,316,285 = 106,316,285
Notice both answers equal 106,316,285

With that explanation out of the way, let's continue. Next, we take the number 106,316,285 and divide it by 2:

106,316,285 ÷ 2 = 53,158,142.5

If the quotient is a whole number, then 2 and 53,158,142.5 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:

1 106,316,285
-1 -106,316,285

Now, we try dividing 106,316,285 by 3:

106,316,285 ÷ 3 = 35,438,761.6667

If the quotient is a whole number, then 3 and 35,438,761.6667 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:

1 106,316,285
-1 -106,316,285

Let's try dividing by 4:

106,316,285 ÷ 4 = 26,579,071.25

If the quotient is a whole number, then 4 and 26,579,071.25 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:

1 106,316,285
-1 106,316,285
Keep dividing by the next highest number until you cannot divide anymore.

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

15891734458651,3816,90515,39776,985122,909238,913614,5451,194,56521,263,257106,316,285
-1-5-89-173-445-865-1,381-6,905-15,397-76,985-122,909-238,913-614,545-1,194,565-21,263,257-106,316,285

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