Q: What are the factor combinations of the number 97,968,739?

 A:
Positive:   1 x 9796873911 x 890624917 x 576286797 x 1009987121 x 809659187 x 523897491 x 1995291067 x 918171649 x 594112057 x 476275401 x 181398347 x 11737
Negative: -1 x -97968739-11 x -8906249-17 x -5762867-97 x -1009987-121 x -809659-187 x -523897-491 x -199529-1067 x -91817-1649 x -59411-2057 x -47627-5401 x -18139-8347 x -11737


How do I find the factor combinations of the number 97,968,739?

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 97,968,739, 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 97,968,739
-1 -97,968,739

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 97,968,739.

Example:
1 x 97,968,739 = 97,968,739
and
-1 x -97,968,739 = 97,968,739
Notice both answers equal 97,968,739

With that explanation out of the way, let's continue. Next, we take the number 97,968,739 and divide it by 2:

97,968,739 ÷ 2 = 48,984,369.5

If the quotient is a whole number, then 2 and 48,984,369.5 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 97,968,739
-1 -97,968,739

Now, we try dividing 97,968,739 by 3:

97,968,739 ÷ 3 = 32,656,246.3333

If the quotient is a whole number, then 3 and 32,656,246.3333 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 97,968,739
-1 -97,968,739

Let's try dividing by 4:

97,968,739 ÷ 4 = 24,492,184.75

If the quotient is a whole number, then 4 and 24,492,184.75 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 97,968,739
-1 97,968,739
Keep dividing by the next highest number until you cannot divide anymore.

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

11117971211874911,0671,6492,0575,4018,34711,73718,13947,62759,41191,817199,529523,897809,6591,009,9875,762,8678,906,24997,968,739
-1-11-17-97-121-187-491-1,067-1,649-2,057-5,401-8,347-11,737-18,139-47,627-59,411-91,817-199,529-523,897-809,659-1,009,987-5,762,867-8,906,249-97,968,739

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