Q: What are the factor combinations of the number 98,209,747?

 A:
Positive:   1 x 9820974723 x 426998929 x 338654373 x 1345339667 x 1472411679 x 584932017 x 486912117 x 46391
Negative: -1 x -98209747-23 x -4269989-29 x -3386543-73 x -1345339-667 x -147241-1679 x -58493-2017 x -48691-2117 x -46391


How do I find the factor combinations of the number 98,209,747?

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 98,209,747, 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 98,209,747
-1 -98,209,747

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 98,209,747.

Example:
1 x 98,209,747 = 98,209,747
and
-1 x -98,209,747 = 98,209,747
Notice both answers equal 98,209,747

With that explanation out of the way, let's continue. Next, we take the number 98,209,747 and divide it by 2:

98,209,747 ÷ 2 = 49,104,873.5

If the quotient is a whole number, then 2 and 49,104,873.5 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 98,209,747
-1 -98,209,747

Now, we try dividing 98,209,747 by 3:

98,209,747 ÷ 3 = 32,736,582.3333

If the quotient is a whole number, then 3 and 32,736,582.3333 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 98,209,747
-1 -98,209,747

Let's try dividing by 4:

98,209,747 ÷ 4 = 24,552,436.75

If the quotient is a whole number, then 4 and 24,552,436.75 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 98,209,747
-1 98,209,747
Keep dividing by the next highest number until you cannot divide anymore.

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

12329736671,6792,0172,11746,39148,69158,493147,2411,345,3393,386,5434,269,98998,209,747
-1-23-29-73-667-1,679-2,017-2,117-46,391-48,691-58,493-147,241-1,345,339-3,386,543-4,269,989-98,209,747

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