Q: What are the factor combinations of the number 104,220,035?

 A:
Positive:   1 x 1042200355 x 2084400719 x 548526595 x 1097053103 x 1011845515 x 2023691957 x 532559785 x 10651
Negative: -1 x -104220035-5 x -20844007-19 x -5485265-95 x -1097053-103 x -1011845-515 x -202369-1957 x -53255-9785 x -10651


How do I find the factor combinations of the number 104,220,035?

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 104,220,035, 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.

1 104,220,035
-1 -104,220,035

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 104,220,035.

Example:
1 x 104,220,035 = 104,220,035
and
-1 x -104,220,035 = 104,220,035
Notice both answers equal 104,220,035

With that explanation out of the way, let's continue. Next, we take the number 104,220,035 and divide it by 2:

104,220,035 ÷ 2 = 52,110,017.5

If the quotient is a whole number, then 2 and 52,110,017.5 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:

1 104,220,035
-1 -104,220,035

Now, we try dividing 104,220,035 by 3:

104,220,035 ÷ 3 = 34,740,011.6667

If the quotient is a whole number, then 3 and 34,740,011.6667 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:

1 104,220,035
-1 -104,220,035

Let's try dividing by 4:

104,220,035 ÷ 4 = 26,055,008.75

If the quotient is a whole number, then 4 and 26,055,008.75 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:

1 104,220,035
-1 104,220,035
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951035151,9579,78510,65153,255202,3691,011,8451,097,0535,485,26520,844,007104,220,035
-1-5-19-95-103-515-1,957-9,785-10,651-53,255-202,369-1,011,845-1,097,053-5,485,265-20,844,007-104,220,035

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