Q: What are the factor combinations of the number 13,679,435?

 A:
Positive:   1 x 136794355 x 27358877 x 195420511 x 124358535 x 39084155 x 24871777 x 177655385 x 35531
Negative: -1 x -13679435-5 x -2735887-7 x -1954205-11 x -1243585-35 x -390841-55 x -248717-77 x -177655-385 x -35531


How do I find the factor combinations of the number 13,679,435?

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 13,679,435, 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 13,679,435
-1 -13,679,435

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 13,679,435.

Example:
1 x 13,679,435 = 13,679,435
and
-1 x -13,679,435 = 13,679,435
Notice both answers equal 13,679,435

With that explanation out of the way, let's continue. Next, we take the number 13,679,435 and divide it by 2:

13,679,435 ÷ 2 = 6,839,717.5

If the quotient is a whole number, then 2 and 6,839,717.5 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 13,679,435
-1 -13,679,435

Now, we try dividing 13,679,435 by 3:

13,679,435 ÷ 3 = 4,559,811.6667

If the quotient is a whole number, then 3 and 4,559,811.6667 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 13,679,435
-1 -13,679,435

Let's try dividing by 4:

13,679,435 ÷ 4 = 3,419,858.75

If the quotient is a whole number, then 4 and 3,419,858.75 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 13,679,435
-1 13,679,435
Keep dividing by the next highest number until you cannot divide anymore.

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

1571135557738535,531177,655248,717390,8411,243,5851,954,2052,735,88713,679,435
-1-5-7-11-35-55-77-385-35,531-177,655-248,717-390,841-1,243,585-1,954,205-2,735,887-13,679,435

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 13,679,435:


Ask a Question