Q: What are the factor combinations of the number 13,424,635?

 A:
Positive:   1 x 134246355 x 26849277 x 191780535 x 38356153 x 253295265 x 50659371 x 361851855 x 7237
Negative: -1 x -13424635-5 x -2684927-7 x -1917805-35 x -383561-53 x -253295-265 x -50659-371 x -36185-1855 x -7237


How do I find the factor combinations of the number 13,424,635?

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 13,424,635, 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 13,424,635
-1 -13,424,635

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 13,424,635.

Example:
1 x 13,424,635 = 13,424,635
and
-1 x -13,424,635 = 13,424,635
Notice both answers equal 13,424,635

With that explanation out of the way, let's continue. Next, we take the number 13,424,635 and divide it by 2:

13,424,635 ÷ 2 = 6,712,317.5

If the quotient is a whole number, then 2 and 6,712,317.5 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 13,424,635
-1 -13,424,635

Now, we try dividing 13,424,635 by 3:

13,424,635 ÷ 3 = 4,474,878.3333

If the quotient is a whole number, then 3 and 4,474,878.3333 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 13,424,635
-1 -13,424,635

Let's try dividing by 4:

13,424,635 ÷ 4 = 3,356,158.75

If the quotient is a whole number, then 4 and 3,356,158.75 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 13,424,635
-1 13,424,635
Keep dividing by the next highest number until you cannot divide anymore.

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

15735532653711,8557,23736,18550,659253,295383,5611,917,8052,684,92713,424,635
-1-5-7-35-53-265-371-1,855-7,237-36,185-50,659-253,295-383,561-1,917,805-2,684,927-13,424,635

More Examples

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