Q: What are the factor combinations of the number 3,563,875?

 A:
Positive:   1 x 35638755 x 7127757 x 50912525 x 14255535 x 101825125 x 28511175 x 20365875 x 4073
Negative: -1 x -3563875-5 x -712775-7 x -509125-25 x -142555-35 x -101825-125 x -28511-175 x -20365-875 x -4073


How do I find the factor combinations of the number 3,563,875?

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 3,563,875, 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 3,563,875
-1 -3,563,875

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 3,563,875.

Example:
1 x 3,563,875 = 3,563,875
and
-1 x -3,563,875 = 3,563,875
Notice both answers equal 3,563,875

With that explanation out of the way, let's continue. Next, we take the number 3,563,875 and divide it by 2:

3,563,875 ÷ 2 = 1,781,937.5

If the quotient is a whole number, then 2 and 1,781,937.5 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 3,563,875
-1 -3,563,875

Now, we try dividing 3,563,875 by 3:

3,563,875 ÷ 3 = 1,187,958.3333

If the quotient is a whole number, then 3 and 1,187,958.3333 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 3,563,875
-1 -3,563,875

Let's try dividing by 4:

3,563,875 ÷ 4 = 890,968.75

If the quotient is a whole number, then 4 and 890,968.75 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 3,563,875
-1 3,563,875
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351251758754,07320,36528,511101,825142,555509,125712,7753,563,875
-1-5-7-25-35-125-175-875-4,073-20,365-28,511-101,825-142,555-509,125-712,775-3,563,875

More Examples

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