Q: What are the factor combinations of the number 13,842,845?

 A:
Positive:   1 x 138428455 x 276856917 x 81428585 x 162857149 x 92905745 x 185811093 x 126652533 x 5465
Negative: -1 x -13842845-5 x -2768569-17 x -814285-85 x -162857-149 x -92905-745 x -18581-1093 x -12665-2533 x -5465


How do I find the factor combinations of the number 13,842,845?

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 13,842,845, 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 13,842,845
-1 -13,842,845

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 13,842,845.

Example:
1 x 13,842,845 = 13,842,845
and
-1 x -13,842,845 = 13,842,845
Notice both answers equal 13,842,845

With that explanation out of the way, let's continue. Next, we take the number 13,842,845 and divide it by 2:

13,842,845 ÷ 2 = 6,921,422.5

If the quotient is a whole number, then 2 and 6,921,422.5 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 13,842,845
-1 -13,842,845

Now, we try dividing 13,842,845 by 3:

13,842,845 ÷ 3 = 4,614,281.6667

If the quotient is a whole number, then 3 and 4,614,281.6667 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 13,842,845
-1 -13,842,845

Let's try dividing by 4:

13,842,845 ÷ 4 = 3,460,711.25

If the quotient is a whole number, then 4 and 3,460,711.25 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 13,842,845
-1 13,842,845
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851497451,0932,5335,46512,66518,58192,905162,857814,2852,768,56913,842,845
-1-5-17-85-149-745-1,093-2,533-5,465-12,665-18,581-92,905-162,857-814,285-2,768,569-13,842,845

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 13,842,845:


Ask a Question