Q: What are the factor combinations of the number 4,508,021?

 A:
Positive:   1 x 45080217 x 64400329 x 15544953 x 85057203 x 22207371 x 12151419 x 107591537 x 2933
Negative: -1 x -4508021-7 x -644003-29 x -155449-53 x -85057-203 x -22207-371 x -12151-419 x -10759-1537 x -2933


How do I find the factor combinations of the number 4,508,021?

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 4,508,021, 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 4,508,021
-1 -4,508,021

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 4,508,021.

Example:
1 x 4,508,021 = 4,508,021
and
-1 x -4,508,021 = 4,508,021
Notice both answers equal 4,508,021

With that explanation out of the way, let's continue. Next, we take the number 4,508,021 and divide it by 2:

4,508,021 ÷ 2 = 2,254,010.5

If the quotient is a whole number, then 2 and 2,254,010.5 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 4,508,021
-1 -4,508,021

Now, we try dividing 4,508,021 by 3:

4,508,021 ÷ 3 = 1,502,673.6667

If the quotient is a whole number, then 3 and 1,502,673.6667 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 4,508,021
-1 -4,508,021

Let's try dividing by 4:

4,508,021 ÷ 4 = 1,127,005.25

If the quotient is a whole number, then 4 and 1,127,005.25 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 4,508,021
-1 4,508,021
Keep dividing by the next highest number until you cannot divide anymore.

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

1729532033714191,5372,93310,75912,15122,20785,057155,449644,0034,508,021
-1-7-29-53-203-371-419-1,537-2,933-10,759-12,151-22,207-85,057-155,449-644,003-4,508,021

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 4,508,021:


Ask a Question