Q: What are the factor combinations of the number 40,350,013?

 A:
Positive:   1 x 4035001311 x 366818353 x 76132167 x 602239583 x 69211737 x 547491033 x 390613551 x 11363
Negative: -1 x -40350013-11 x -3668183-53 x -761321-67 x -602239-583 x -69211-737 x -54749-1033 x -39061-3551 x -11363


How do I find the factor combinations of the number 40,350,013?

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 40,350,013, 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 40,350,013
-1 -40,350,013

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 40,350,013.

Example:
1 x 40,350,013 = 40,350,013
and
-1 x -40,350,013 = 40,350,013
Notice both answers equal 40,350,013

With that explanation out of the way, let's continue. Next, we take the number 40,350,013 and divide it by 2:

40,350,013 ÷ 2 = 20,175,006.5

If the quotient is a whole number, then 2 and 20,175,006.5 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 40,350,013
-1 -40,350,013

Now, we try dividing 40,350,013 by 3:

40,350,013 ÷ 3 = 13,450,004.3333

If the quotient is a whole number, then 3 and 13,450,004.3333 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 40,350,013
-1 -40,350,013

Let's try dividing by 4:

40,350,013 ÷ 4 = 10,087,503.25

If the quotient is a whole number, then 4 and 10,087,503.25 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 40,350,013
-1 40,350,013
Keep dividing by the next highest number until you cannot divide anymore.

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

11153675837371,0333,55111,36339,06154,74969,211602,239761,3213,668,18340,350,013
-1-11-53-67-583-737-1,033-3,551-11,363-39,061-54,749-69,211-602,239-761,321-3,668,183-40,350,013

More Examples

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