Q: What are the factor combinations of the number 120,553,265?

 A:
Positive:   1 x 1205532655 x 241106537 x 1722189531 x 388881535 x 3444379155 x 777763217 x 5555451085 x 111109
Negative: -1 x -120553265-5 x -24110653-7 x -17221895-31 x -3888815-35 x -3444379-155 x -777763-217 x -555545-1085 x -111109


How do I find the factor combinations of the number 120,553,265?

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 120,553,265, 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.

1 120,553,265
-1 -120,553,265

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 120,553,265.

Example:
1 x 120,553,265 = 120,553,265
and
-1 x -120,553,265 = 120,553,265
Notice both answers equal 120,553,265

With that explanation out of the way, let's continue. Next, we take the number 120,553,265 and divide it by 2:

120,553,265 ÷ 2 = 60,276,632.5

If the quotient is a whole number, then 2 and 60,276,632.5 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:

1 120,553,265
-1 -120,553,265

Now, we try dividing 120,553,265 by 3:

120,553,265 ÷ 3 = 40,184,421.6667

If the quotient is a whole number, then 3 and 40,184,421.6667 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:

1 120,553,265
-1 -120,553,265

Let's try dividing by 4:

120,553,265 ÷ 4 = 30,138,316.25

If the quotient is a whole number, then 4 and 30,138,316.25 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:

1 120,553,265
-1 120,553,265
Keep dividing by the next highest number until you cannot divide anymore.

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

15731351552171,085111,109555,545777,7633,444,3793,888,81517,221,89524,110,653120,553,265
-1-5-7-31-35-155-217-1,085-111,109-555,545-777,763-3,444,379-3,888,815-17,221,895-24,110,653-120,553,265

More Examples

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