Q: What are the factor combinations of the number 13,834,481?

 A:
Positive:   1 x 1383448117 x 813793421 x 328611933 x 7157
Negative: -1 x -13834481-17 x -813793-421 x -32861-1933 x -7157


How do I find the factor combinations of the number 13,834,481?

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 13,834,481, 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 13,834,481
-1 -13,834,481

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 13,834,481.

Example:
1 x 13,834,481 = 13,834,481
and
-1 x -13,834,481 = 13,834,481
Notice both answers equal 13,834,481

With that explanation out of the way, let's continue. Next, we take the number 13,834,481 and divide it by 2:

13,834,481 ÷ 2 = 6,917,240.5

If the quotient is a whole number, then 2 and 6,917,240.5 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 13,834,481
-1 -13,834,481

Now, we try dividing 13,834,481 by 3:

13,834,481 ÷ 3 = 4,611,493.6667

If the quotient is a whole number, then 3 and 4,611,493.6667 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 13,834,481
-1 -13,834,481

Let's try dividing by 4:

13,834,481 ÷ 4 = 3,458,620.25

If the quotient is a whole number, then 4 and 3,458,620.25 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 13,834,481
-1 13,834,481
Keep dividing by the next highest number until you cannot divide anymore.

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

1174211,9337,15732,861813,79313,834,481
-1-17-421-1,933-7,157-32,861-813,793-13,834,481

More Examples

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