Q: What are the factor combinations of the number 6,920,221?

 A:
Positive:   1 x 69202217 x 98860311 x 62911137 x 18703349 x 14122977 x 89873259 x 26719347 x 19943407 x 17003539 x 128391813 x 38172429 x 2849
Negative: -1 x -6920221-7 x -988603-11 x -629111-37 x -187033-49 x -141229-77 x -89873-259 x -26719-347 x -19943-407 x -17003-539 x -12839-1813 x -3817-2429 x -2849


How do I find the factor combinations of the number 6,920,221?

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 6,920,221, 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 6,920,221
-1 -6,920,221

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 6,920,221.

Example:
1 x 6,920,221 = 6,920,221
and
-1 x -6,920,221 = 6,920,221
Notice both answers equal 6,920,221

With that explanation out of the way, let's continue. Next, we take the number 6,920,221 and divide it by 2:

6,920,221 ÷ 2 = 3,460,110.5

If the quotient is a whole number, then 2 and 3,460,110.5 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 6,920,221
-1 -6,920,221

Now, we try dividing 6,920,221 by 3:

6,920,221 ÷ 3 = 2,306,740.3333

If the quotient is a whole number, then 3 and 2,306,740.3333 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 6,920,221
-1 -6,920,221

Let's try dividing by 4:

6,920,221 ÷ 4 = 1,730,055.25

If the quotient is a whole number, then 4 and 1,730,055.25 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 6,920,221
-1 6,920,221
Keep dividing by the next highest number until you cannot divide anymore.

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

17113749772593474075391,8132,4292,8493,81712,83917,00319,94326,71989,873141,229187,033629,111988,6036,920,221
-1-7-11-37-49-77-259-347-407-539-1,813-2,429-2,849-3,817-12,839-17,003-19,943-26,719-89,873-141,229-187,033-629,111-988,603-6,920,221

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 6,920,221:


Ask a Question