Q: What are the factor combinations of the number 101,164,705?

 A:
Positive:   1 x 1011647055 x 2023294117 x 595086571 x 142485585 x 1190173355 x 2849711207 x 838156035 x 16763
Negative: -1 x -101164705-5 x -20232941-17 x -5950865-71 x -1424855-85 x -1190173-355 x -284971-1207 x -83815-6035 x -16763


How do I find the factor combinations of the number 101,164,705?

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 101,164,705, 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.

1 101,164,705
-1 -101,164,705

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 101,164,705.

Example:
1 x 101,164,705 = 101,164,705
and
-1 x -101,164,705 = 101,164,705
Notice both answers equal 101,164,705

With that explanation out of the way, let's continue. Next, we take the number 101,164,705 and divide it by 2:

101,164,705 ÷ 2 = 50,582,352.5

If the quotient is a whole number, then 2 and 50,582,352.5 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:

1 101,164,705
-1 -101,164,705

Now, we try dividing 101,164,705 by 3:

101,164,705 ÷ 3 = 33,721,568.3333

If the quotient is a whole number, then 3 and 33,721,568.3333 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:

1 101,164,705
-1 -101,164,705

Let's try dividing by 4:

101,164,705 ÷ 4 = 25,291,176.25

If the quotient is a whole number, then 4 and 25,291,176.25 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:

1 101,164,705
-1 101,164,705
Keep dividing by the next highest number until you cannot divide anymore.

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

151771853551,2076,03516,76383,815284,9711,190,1731,424,8555,950,86520,232,941101,164,705
-1-5-17-71-85-355-1,207-6,035-16,763-83,815-284,971-1,190,173-1,424,855-5,950,865-20,232,941-101,164,705

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