Q: What are the factor combinations of the number 21,380,545?

 A:
Positive:   1 x 213805455 x 427610931 x 689695155 x 137939271 x 78895509 x 420051355 x 157792545 x 8401
Negative: -1 x -21380545-5 x -4276109-31 x -689695-155 x -137939-271 x -78895-509 x -42005-1355 x -15779-2545 x -8401


How do I find the factor combinations of the number 21,380,545?

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 21,380,545, 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 21,380,545
-1 -21,380,545

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 21,380,545.

Example:
1 x 21,380,545 = 21,380,545
and
-1 x -21,380,545 = 21,380,545
Notice both answers equal 21,380,545

With that explanation out of the way, let's continue. Next, we take the number 21,380,545 and divide it by 2:

21,380,545 ÷ 2 = 10,690,272.5

If the quotient is a whole number, then 2 and 10,690,272.5 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 21,380,545
-1 -21,380,545

Now, we try dividing 21,380,545 by 3:

21,380,545 ÷ 3 = 7,126,848.3333

If the quotient is a whole number, then 3 and 7,126,848.3333 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 21,380,545
-1 -21,380,545

Let's try dividing by 4:

21,380,545 ÷ 4 = 5,345,136.25

If the quotient is a whole number, then 4 and 5,345,136.25 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 21,380,545
-1 21,380,545
Keep dividing by the next highest number until you cannot divide anymore.

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

15311552715091,3552,5458,40115,77942,00578,895137,939689,6954,276,10921,380,545
-1-5-31-155-271-509-1,355-2,545-8,401-15,779-42,005-78,895-137,939-689,695-4,276,109-21,380,545

More Examples

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