Q: What are the factor combinations of the number 4,021,745?

 A:
Positive:   1 x 40217455 x 8043497 x 57453513 x 30936535 x 11490765 x 6187391 x 44195455 x 8839
Negative: -1 x -4021745-5 x -804349-7 x -574535-13 x -309365-35 x -114907-65 x -61873-91 x -44195-455 x -8839


How do I find the factor combinations of the number 4,021,745?

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 4,021,745, 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 4,021,745
-1 -4,021,745

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 4,021,745.

Example:
1 x 4,021,745 = 4,021,745
and
-1 x -4,021,745 = 4,021,745
Notice both answers equal 4,021,745

With that explanation out of the way, let's continue. Next, we take the number 4,021,745 and divide it by 2:

4,021,745 ÷ 2 = 2,010,872.5

If the quotient is a whole number, then 2 and 2,010,872.5 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 4,021,745
-1 -4,021,745

Now, we try dividing 4,021,745 by 3:

4,021,745 ÷ 3 = 1,340,581.6667

If the quotient is a whole number, then 3 and 1,340,581.6667 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 4,021,745
-1 -4,021,745

Let's try dividing by 4:

4,021,745 ÷ 4 = 1,005,436.25

If the quotient is a whole number, then 4 and 1,005,436.25 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 4,021,745
-1 4,021,745
Keep dividing by the next highest number until you cannot divide anymore.

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

157133565914558,83944,19561,873114,907309,365574,535804,3494,021,745
-1-5-7-13-35-65-91-455-8,839-44,195-61,873-114,907-309,365-574,535-804,349-4,021,745

More Examples

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