Q: What are the factor combinations of the number 13,429,639?

 A:
Positive:   1 x 1342963929 x 46309147 x 28573759 x 227621167 x 804171363 x 98531711 x 78492773 x 4843
Negative: -1 x -13429639-29 x -463091-47 x -285737-59 x -227621-167 x -80417-1363 x -9853-1711 x -7849-2773 x -4843


How do I find the factor combinations of the number 13,429,639?

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 13,429,639, 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 13,429,639
-1 -13,429,639

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 13,429,639.

Example:
1 x 13,429,639 = 13,429,639
and
-1 x -13,429,639 = 13,429,639
Notice both answers equal 13,429,639

With that explanation out of the way, let's continue. Next, we take the number 13,429,639 and divide it by 2:

13,429,639 ÷ 2 = 6,714,819.5

If the quotient is a whole number, then 2 and 6,714,819.5 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 13,429,639
-1 -13,429,639

Now, we try dividing 13,429,639 by 3:

13,429,639 ÷ 3 = 4,476,546.3333

If the quotient is a whole number, then 3 and 4,476,546.3333 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 13,429,639
-1 -13,429,639

Let's try dividing by 4:

13,429,639 ÷ 4 = 3,357,409.75

If the quotient is a whole number, then 4 and 3,357,409.75 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 13,429,639
-1 13,429,639
Keep dividing by the next highest number until you cannot divide anymore.

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

12947591671,3631,7112,7734,8437,8499,85380,417227,621285,737463,09113,429,639
-1-29-47-59-167-1,363-1,711-2,773-4,843-7,849-9,853-80,417-227,621-285,737-463,091-13,429,639

More Examples

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