Q: What are the factor combinations of the number 21,034,673?

 A:
Positive:   1 x 2103467311 x 191224323 x 91455171 x 296263253 x 83141781 x 269331171 x 179631633 x 12881
Negative: -1 x -21034673-11 x -1912243-23 x -914551-71 x -296263-253 x -83141-781 x -26933-1171 x -17963-1633 x -12881


How do I find the factor combinations of the number 21,034,673?

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 21,034,673, 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 21,034,673
-1 -21,034,673

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 21,034,673.

Example:
1 x 21,034,673 = 21,034,673
and
-1 x -21,034,673 = 21,034,673
Notice both answers equal 21,034,673

With that explanation out of the way, let's continue. Next, we take the number 21,034,673 and divide it by 2:

21,034,673 ÷ 2 = 10,517,336.5

If the quotient is a whole number, then 2 and 10,517,336.5 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 21,034,673
-1 -21,034,673

Now, we try dividing 21,034,673 by 3:

21,034,673 ÷ 3 = 7,011,557.6667

If the quotient is a whole number, then 3 and 7,011,557.6667 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 21,034,673
-1 -21,034,673

Let's try dividing by 4:

21,034,673 ÷ 4 = 5,258,668.25

If the quotient is a whole number, then 4 and 5,258,668.25 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 21,034,673
-1 21,034,673
Keep dividing by the next highest number until you cannot divide anymore.

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

11123712537811,1711,63312,88117,96326,93383,141296,263914,5511,912,24321,034,673
-1-11-23-71-253-781-1,171-1,633-12,881-17,963-26,933-83,141-296,263-914,551-1,912,243-21,034,673

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 21,034,673:


Ask a Question