Q: What are the factor combinations of the number 120,402,773?

 A:
Positive:   1 x 12040277337 x 325412941 x 2936653139 x 866207571 x 2108631517 x 793695143 x 234115699 x 21127
Negative: -1 x -120402773-37 x -3254129-41 x -2936653-139 x -866207-571 x -210863-1517 x -79369-5143 x -23411-5699 x -21127


How do I find the factor combinations of the number 120,402,773?

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 120,402,773, 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.

1 120,402,773
-1 -120,402,773

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 120,402,773.

Example:
1 x 120,402,773 = 120,402,773
and
-1 x -120,402,773 = 120,402,773
Notice both answers equal 120,402,773

With that explanation out of the way, let's continue. Next, we take the number 120,402,773 and divide it by 2:

120,402,773 ÷ 2 = 60,201,386.5

If the quotient is a whole number, then 2 and 60,201,386.5 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:

1 120,402,773
-1 -120,402,773

Now, we try dividing 120,402,773 by 3:

120,402,773 ÷ 3 = 40,134,257.6667

If the quotient is a whole number, then 3 and 40,134,257.6667 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:

1 120,402,773
-1 -120,402,773

Let's try dividing by 4:

120,402,773 ÷ 4 = 30,100,693.25

If the quotient is a whole number, then 4 and 30,100,693.25 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:

1 120,402,773
-1 120,402,773
Keep dividing by the next highest number until you cannot divide anymore.

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

137411395711,5175,1435,69921,12723,41179,369210,863866,2072,936,6533,254,129120,402,773
-1-37-41-139-571-1,517-5,143-5,699-21,127-23,411-79,369-210,863-866,207-2,936,653-3,254,129-120,402,773

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