Q: What are the factor combinations of the number 21,637,273?

 A:
Positive:   1 x 216372737 x 309103923 x 94075149 x 44157773 x 296401161 x 134393263 x 82271511 x 423431127 x 191991679 x 128871841 x 117533577 x 6049
Negative: -1 x -21637273-7 x -3091039-23 x -940751-49 x -441577-73 x -296401-161 x -134393-263 x -82271-511 x -42343-1127 x -19199-1679 x -12887-1841 x -11753-3577 x -6049


How do I find the factor combinations of the number 21,637,273?

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 21,637,273, 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 21,637,273
-1 -21,637,273

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 21,637,273.

Example:
1 x 21,637,273 = 21,637,273
and
-1 x -21,637,273 = 21,637,273
Notice both answers equal 21,637,273

With that explanation out of the way, let's continue. Next, we take the number 21,637,273 and divide it by 2:

21,637,273 ÷ 2 = 10,818,636.5

If the quotient is a whole number, then 2 and 10,818,636.5 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 21,637,273
-1 -21,637,273

Now, we try dividing 21,637,273 by 3:

21,637,273 ÷ 3 = 7,212,424.3333

If the quotient is a whole number, then 3 and 7,212,424.3333 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 21,637,273
-1 -21,637,273

Let's try dividing by 4:

21,637,273 ÷ 4 = 5,409,318.25

If the quotient is a whole number, then 4 and 5,409,318.25 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 21,637,273
-1 21,637,273
Keep dividing by the next highest number until you cannot divide anymore.

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

172349731612635111,1271,6791,8413,5776,04911,75312,88719,19942,34382,271134,393296,401441,577940,7513,091,03921,637,273
-1-7-23-49-73-161-263-511-1,127-1,679-1,841-3,577-6,049-11,753-12,887-19,199-42,343-82,271-134,393-296,401-441,577-940,751-3,091,039-21,637,273

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 21,637,273:


Ask a Question