Q: What are the factor combinations of the number 13,779,731?

 A:
Positive:   1 x 137797317 x 196853319 x 72524941 x 33609149 x 281219133 x 103607287 x 48013361 x 38171779 x 17689931 x 148012009 x 68592527 x 5453
Negative: -1 x -13779731-7 x -1968533-19 x -725249-41 x -336091-49 x -281219-133 x -103607-287 x -48013-361 x -38171-779 x -17689-931 x -14801-2009 x -6859-2527 x -5453


How do I find the factor combinations of the number 13,779,731?

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 13,779,731, 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 13,779,731
-1 -13,779,731

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 13,779,731.

Example:
1 x 13,779,731 = 13,779,731
and
-1 x -13,779,731 = 13,779,731
Notice both answers equal 13,779,731

With that explanation out of the way, let's continue. Next, we take the number 13,779,731 and divide it by 2:

13,779,731 ÷ 2 = 6,889,865.5

If the quotient is a whole number, then 2 and 6,889,865.5 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 13,779,731
-1 -13,779,731

Now, we try dividing 13,779,731 by 3:

13,779,731 ÷ 3 = 4,593,243.6667

If the quotient is a whole number, then 3 and 4,593,243.6667 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 13,779,731
-1 -13,779,731

Let's try dividing by 4:

13,779,731 ÷ 4 = 3,444,932.75

If the quotient is a whole number, then 4 and 3,444,932.75 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 13,779,731
-1 13,779,731
Keep dividing by the next highest number until you cannot divide anymore.

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

171941491332873617799312,0092,5275,4536,85914,80117,68938,17148,013103,607281,219336,091725,2491,968,53313,779,731
-1-7-19-41-49-133-287-361-779-931-2,009-2,527-5,453-6,859-14,801-17,689-38,171-48,013-103,607-281,219-336,091-725,249-1,968,533-13,779,731

More Examples

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