Q: What are the factor combinations of the number 21,250,645?

 A:
Positive:   1 x 212506455 x 425012913 x 163466519 x 111845565 x 32693395 x 223691247 x 860351235 x 17207
Negative: -1 x -21250645-5 x -4250129-13 x -1634665-19 x -1118455-65 x -326933-95 x -223691-247 x -86035-1235 x -17207


How do I find the factor combinations of the number 21,250,645?

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 21,250,645, 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 21,250,645
-1 -21,250,645

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 21,250,645.

Example:
1 x 21,250,645 = 21,250,645
and
-1 x -21,250,645 = 21,250,645
Notice both answers equal 21,250,645

With that explanation out of the way, let's continue. Next, we take the number 21,250,645 and divide it by 2:

21,250,645 ÷ 2 = 10,625,322.5

If the quotient is a whole number, then 2 and 10,625,322.5 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 21,250,645
-1 -21,250,645

Now, we try dividing 21,250,645 by 3:

21,250,645 ÷ 3 = 7,083,548.3333

If the quotient is a whole number, then 3 and 7,083,548.3333 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 21,250,645
-1 -21,250,645

Let's try dividing by 4:

21,250,645 ÷ 4 = 5,312,661.25

If the quotient is a whole number, then 4 and 5,312,661.25 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 21,250,645
-1 21,250,645
Keep dividing by the next highest number until you cannot divide anymore.

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

15131965952471,23517,20786,035223,691326,9331,118,4551,634,6654,250,12921,250,645
-1-5-13-19-65-95-247-1,235-17,207-86,035-223,691-326,933-1,118,455-1,634,665-4,250,129-21,250,645

More Examples

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