Q: What are the factor combinations of the number 21,031,045?

 A:
Positive:   1 x 210310455 x 42062097 x 300443535 x 60088749 x 429205245 x 85841343 x 613151715 x 12263
Negative: -1 x -21031045-5 x -4206209-7 x -3004435-35 x -600887-49 x -429205-245 x -85841-343 x -61315-1715 x -12263


How do I find the factor combinations of the number 21,031,045?

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 21,031,045, 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 21,031,045
-1 -21,031,045

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 21,031,045.

Example:
1 x 21,031,045 = 21,031,045
and
-1 x -21,031,045 = 21,031,045
Notice both answers equal 21,031,045

With that explanation out of the way, let's continue. Next, we take the number 21,031,045 and divide it by 2:

21,031,045 ÷ 2 = 10,515,522.5

If the quotient is a whole number, then 2 and 10,515,522.5 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 21,031,045
-1 -21,031,045

Now, we try dividing 21,031,045 by 3:

21,031,045 ÷ 3 = 7,010,348.3333

If the quotient is a whole number, then 3 and 7,010,348.3333 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 21,031,045
-1 -21,031,045

Let's try dividing by 4:

21,031,045 ÷ 4 = 5,257,761.25

If the quotient is a whole number, then 4 and 5,257,761.25 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 21,031,045
-1 21,031,045
Keep dividing by the next highest number until you cannot divide anymore.

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

15735492453431,71512,26361,31585,841429,205600,8873,004,4354,206,20921,031,045
-1-5-7-35-49-245-343-1,715-12,263-61,315-85,841-429,205-600,887-3,004,435-4,206,209-21,031,045

More Examples

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