Q: What are the factor combinations of the number 13,703,767?

 A:
Positive:   1 x 137037677 x 195768111 x 124579731 x 44205777 x 177971217 x 63151341 x 401872387 x 5741
Negative: -1 x -13703767-7 x -1957681-11 x -1245797-31 x -442057-77 x -177971-217 x -63151-341 x -40187-2387 x -5741


How do I find the factor combinations of the number 13,703,767?

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 13,703,767, 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 13,703,767
-1 -13,703,767

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 13,703,767.

Example:
1 x 13,703,767 = 13,703,767
and
-1 x -13,703,767 = 13,703,767
Notice both answers equal 13,703,767

With that explanation out of the way, let's continue. Next, we take the number 13,703,767 and divide it by 2:

13,703,767 ÷ 2 = 6,851,883.5

If the quotient is a whole number, then 2 and 6,851,883.5 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 13,703,767
-1 -13,703,767

Now, we try dividing 13,703,767 by 3:

13,703,767 ÷ 3 = 4,567,922.3333

If the quotient is a whole number, then 3 and 4,567,922.3333 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 13,703,767
-1 -13,703,767

Let's try dividing by 4:

13,703,767 ÷ 4 = 3,425,941.75

If the quotient is a whole number, then 4 and 3,425,941.75 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 13,703,767
-1 13,703,767
Keep dividing by the next highest number until you cannot divide anymore.

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

171131772173412,3875,74140,18763,151177,971442,0571,245,7971,957,68113,703,767
-1-7-11-31-77-217-341-2,387-5,741-40,187-63,151-177,971-442,057-1,245,797-1,957,681-13,703,767

More Examples

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