Q: What are the factor combinations of the number 5,425,013?

 A:
Positive:   1 x 542501311 x 49318319 x 285527101 x 53713209 x 25957257 x 211091111 x 48831919 x 2827
Negative: -1 x -5425013-11 x -493183-19 x -285527-101 x -53713-209 x -25957-257 x -21109-1111 x -4883-1919 x -2827


How do I find the factor combinations of the number 5,425,013?

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 5,425,013, 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 5,425,013
-1 -5,425,013

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 5,425,013.

Example:
1 x 5,425,013 = 5,425,013
and
-1 x -5,425,013 = 5,425,013
Notice both answers equal 5,425,013

With that explanation out of the way, let's continue. Next, we take the number 5,425,013 and divide it by 2:

5,425,013 ÷ 2 = 2,712,506.5

If the quotient is a whole number, then 2 and 2,712,506.5 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 5,425,013
-1 -5,425,013

Now, we try dividing 5,425,013 by 3:

5,425,013 ÷ 3 = 1,808,337.6667

If the quotient is a whole number, then 3 and 1,808,337.6667 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 5,425,013
-1 -5,425,013

Let's try dividing by 4:

5,425,013 ÷ 4 = 1,356,253.25

If the quotient is a whole number, then 4 and 1,356,253.25 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 5,425,013
-1 5,425,013
Keep dividing by the next highest number until you cannot divide anymore.

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

111191012092571,1111,9192,8274,88321,10925,95753,713285,527493,1835,425,013
-1-11-19-101-209-257-1,111-1,919-2,827-4,883-21,109-25,957-53,713-285,527-493,183-5,425,013

More Examples

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