Q: What are the factor combinations of the number 103,000,325?

 A:
Positive:   1 x 1030003255 x 2060006523 x 447827525 x 4120013115 x 895655271 x 380075575 x 179131661 x 1558251355 x 760153305 x 311656233 x 165256775 x 15203
Negative: -1 x -103000325-5 x -20600065-23 x -4478275-25 x -4120013-115 x -895655-271 x -380075-575 x -179131-661 x -155825-1355 x -76015-3305 x -31165-6233 x -16525-6775 x -15203


How do I find the factor combinations of the number 103,000,325?

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 103,000,325, 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.

1 103,000,325
-1 -103,000,325

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 103,000,325.

Example:
1 x 103,000,325 = 103,000,325
and
-1 x -103,000,325 = 103,000,325
Notice both answers equal 103,000,325

With that explanation out of the way, let's continue. Next, we take the number 103,000,325 and divide it by 2:

103,000,325 ÷ 2 = 51,500,162.5

If the quotient is a whole number, then 2 and 51,500,162.5 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:

1 103,000,325
-1 -103,000,325

Now, we try dividing 103,000,325 by 3:

103,000,325 ÷ 3 = 34,333,441.6667

If the quotient is a whole number, then 3 and 34,333,441.6667 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:

1 103,000,325
-1 -103,000,325

Let's try dividing by 4:

103,000,325 ÷ 4 = 25,750,081.25

If the quotient is a whole number, then 4 and 25,750,081.25 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:

1 103,000,325
-1 103,000,325
Keep dividing by the next highest number until you cannot divide anymore.

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

1523251152715756611,3553,3056,2336,77515,20316,52531,16576,015155,825179,131380,075895,6554,120,0134,478,27520,600,065103,000,325
-1-5-23-25-115-271-575-661-1,355-3,305-6,233-6,775-15,203-16,525-31,165-76,015-155,825-179,131-380,075-895,655-4,120,013-4,478,275-20,600,065-103,000,325

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