Q: What are the factor combinations of the number 5,202,875?

 A:
Positive:   1 x 52028755 x 104057525 x 208115107 x 48625125 x 41623389 x 13375535 x 97251945 x 2675
Negative: -1 x -5202875-5 x -1040575-25 x -208115-107 x -48625-125 x -41623-389 x -13375-535 x -9725-1945 x -2675


How do I find the factor combinations of the number 5,202,875?

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 5,202,875, 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 5,202,875
-1 -5,202,875

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 5,202,875.

Example:
1 x 5,202,875 = 5,202,875
and
-1 x -5,202,875 = 5,202,875
Notice both answers equal 5,202,875

With that explanation out of the way, let's continue. Next, we take the number 5,202,875 and divide it by 2:

5,202,875 ÷ 2 = 2,601,437.5

If the quotient is a whole number, then 2 and 2,601,437.5 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 5,202,875
-1 -5,202,875

Now, we try dividing 5,202,875 by 3:

5,202,875 ÷ 3 = 1,734,291.6667

If the quotient is a whole number, then 3 and 1,734,291.6667 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 5,202,875
-1 -5,202,875

Let's try dividing by 4:

5,202,875 ÷ 4 = 1,300,718.75

If the quotient is a whole number, then 4 and 1,300,718.75 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 5,202,875
-1 5,202,875
Keep dividing by the next highest number until you cannot divide anymore.

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

15251071253895351,9452,6759,72513,37541,62348,625208,1151,040,5755,202,875
-1-5-25-107-125-389-535-1,945-2,675-9,725-13,375-41,623-48,625-208,115-1,040,575-5,202,875

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