Q: What are the factor combinations of the number 21,471,281?

 A:
Positive:   1 x 2147128113 x 165163729 x 740389169 x 127049337 x 63713377 x 569532197 x 97734381 x 4901
Negative: -1 x -21471281-13 x -1651637-29 x -740389-169 x -127049-337 x -63713-377 x -56953-2197 x -9773-4381 x -4901


How do I find the factor combinations of the number 21,471,281?

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 21,471,281, 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 21,471,281
-1 -21,471,281

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 21,471,281.

Example:
1 x 21,471,281 = 21,471,281
and
-1 x -21,471,281 = 21,471,281
Notice both answers equal 21,471,281

With that explanation out of the way, let's continue. Next, we take the number 21,471,281 and divide it by 2:

21,471,281 ÷ 2 = 10,735,640.5

If the quotient is a whole number, then 2 and 10,735,640.5 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 21,471,281
-1 -21,471,281

Now, we try dividing 21,471,281 by 3:

21,471,281 ÷ 3 = 7,157,093.6667

If the quotient is a whole number, then 3 and 7,157,093.6667 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 21,471,281
-1 -21,471,281

Let's try dividing by 4:

21,471,281 ÷ 4 = 5,367,820.25

If the quotient is a whole number, then 4 and 5,367,820.25 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 21,471,281
-1 21,471,281
Keep dividing by the next highest number until you cannot divide anymore.

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

113291693373772,1974,3814,9019,77356,95363,713127,049740,3891,651,63721,471,281
-1-13-29-169-337-377-2,197-4,381-4,901-9,773-56,953-63,713-127,049-740,389-1,651,637-21,471,281

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 21,471,281:


Ask a Question