Q: What are the factor combinations of the number 21,356,585?

 A:
Positive:   1 x 213565855 x 427131737 x 57720567 x 318755185 x 115441335 x 637511723 x 123952479 x 8615
Negative: -1 x -21356585-5 x -4271317-37 x -577205-67 x -318755-185 x -115441-335 x -63751-1723 x -12395-2479 x -8615


How do I find the factor combinations of the number 21,356,585?

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 21,356,585, 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 21,356,585
-1 -21,356,585

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 21,356,585.

Example:
1 x 21,356,585 = 21,356,585
and
-1 x -21,356,585 = 21,356,585
Notice both answers equal 21,356,585

With that explanation out of the way, let's continue. Next, we take the number 21,356,585 and divide it by 2:

21,356,585 ÷ 2 = 10,678,292.5

If the quotient is a whole number, then 2 and 10,678,292.5 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 21,356,585
-1 -21,356,585

Now, we try dividing 21,356,585 by 3:

21,356,585 ÷ 3 = 7,118,861.6667

If the quotient is a whole number, then 3 and 7,118,861.6667 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 21,356,585
-1 -21,356,585

Let's try dividing by 4:

21,356,585 ÷ 4 = 5,339,146.25

If the quotient is a whole number, then 4 and 5,339,146.25 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 21,356,585
-1 21,356,585
Keep dividing by the next highest number until you cannot divide anymore.

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

1537671853351,7232,4798,61512,39563,751115,441318,755577,2054,271,31721,356,585
-1-5-37-67-185-335-1,723-2,479-8,615-12,395-63,751-115,441-318,755-577,205-4,271,317-21,356,585

More Examples

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