Q: What are the factor combinations of the number 21,107,281?

 A:
Positive:   1 x 2110728113 x 162363743 x 49086761 x 346021559 x 37759619 x 34099793 x 266172623 x 8047
Negative: -1 x -21107281-13 x -1623637-43 x -490867-61 x -346021-559 x -37759-619 x -34099-793 x -26617-2623 x -8047


How do I find the factor combinations of the number 21,107,281?

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 21,107,281, 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 21,107,281
-1 -21,107,281

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 21,107,281.

Example:
1 x 21,107,281 = 21,107,281
and
-1 x -21,107,281 = 21,107,281
Notice both answers equal 21,107,281

With that explanation out of the way, let's continue. Next, we take the number 21,107,281 and divide it by 2:

21,107,281 ÷ 2 = 10,553,640.5

If the quotient is a whole number, then 2 and 10,553,640.5 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 21,107,281
-1 -21,107,281

Now, we try dividing 21,107,281 by 3:

21,107,281 ÷ 3 = 7,035,760.3333

If the quotient is a whole number, then 3 and 7,035,760.3333 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 21,107,281
-1 -21,107,281

Let's try dividing by 4:

21,107,281 ÷ 4 = 5,276,820.25

If the quotient is a whole number, then 4 and 5,276,820.25 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 21,107,281
-1 21,107,281
Keep dividing by the next highest number until you cannot divide anymore.

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

11343615596197932,6238,04726,61734,09937,759346,021490,8671,623,63721,107,281
-1-13-43-61-559-619-793-2,623-8,047-26,617-34,099-37,759-346,021-490,867-1,623,637-21,107,281

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 21,107,281:


Ask a Question