Q: What are the factor combinations of the number 103,380,035?

 A:
Positive:   1 x 1033800355 x 2067600711 x 939818537 x 279405555 x 1879637185 x 558811407 x 2540051369 x 755151373 x 752952035 x 508016845 x 151036865 x 15059
Negative: -1 x -103380035-5 x -20676007-11 x -9398185-37 x -2794055-55 x -1879637-185 x -558811-407 x -254005-1369 x -75515-1373 x -75295-2035 x -50801-6845 x -15103-6865 x -15059


How do I find the factor combinations of the number 103,380,035?

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 103,380,035, 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.

1 103,380,035
-1 -103,380,035

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 103,380,035.

Example:
1 x 103,380,035 = 103,380,035
and
-1 x -103,380,035 = 103,380,035
Notice both answers equal 103,380,035

With that explanation out of the way, let's continue. Next, we take the number 103,380,035 and divide it by 2:

103,380,035 ÷ 2 = 51,690,017.5

If the quotient is a whole number, then 2 and 51,690,017.5 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:

1 103,380,035
-1 -103,380,035

Now, we try dividing 103,380,035 by 3:

103,380,035 ÷ 3 = 34,460,011.6667

If the quotient is a whole number, then 3 and 34,460,011.6667 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:

1 103,380,035
-1 -103,380,035

Let's try dividing by 4:

103,380,035 ÷ 4 = 25,845,008.75

If the quotient is a whole number, then 4 and 25,845,008.75 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:

1 103,380,035
-1 103,380,035
Keep dividing by the next highest number until you cannot divide anymore.

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

151137551854071,3691,3732,0356,8456,86515,05915,10350,80175,29575,515254,005558,8111,879,6372,794,0559,398,18520,676,007103,380,035
-1-5-11-37-55-185-407-1,369-1,373-2,035-6,845-6,865-15,059-15,103-50,801-75,295-75,515-254,005-558,811-1,879,637-2,794,055-9,398,185-20,676,007-103,380,035

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