Q: What are the factor combinations of the number 10,013,645?

 A:
Positive:   1 x 100136455 x 200272979 x 126755101 x 99145251 x 39895395 x 25351505 x 198291255 x 7979
Negative: -1 x -10013645-5 x -2002729-79 x -126755-101 x -99145-251 x -39895-395 x -25351-505 x -19829-1255 x -7979


How do I find the factor combinations of the number 10,013,645?

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 10,013,645, 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 10,013,645
-1 -10,013,645

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 10,013,645.

Example:
1 x 10,013,645 = 10,013,645
and
-1 x -10,013,645 = 10,013,645
Notice both answers equal 10,013,645

With that explanation out of the way, let's continue. Next, we take the number 10,013,645 and divide it by 2:

10,013,645 ÷ 2 = 5,006,822.5

If the quotient is a whole number, then 2 and 5,006,822.5 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 10,013,645
-1 -10,013,645

Now, we try dividing 10,013,645 by 3:

10,013,645 ÷ 3 = 3,337,881.6667

If the quotient is a whole number, then 3 and 3,337,881.6667 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 10,013,645
-1 -10,013,645

Let's try dividing by 4:

10,013,645 ÷ 4 = 2,503,411.25

If the quotient is a whole number, then 4 and 2,503,411.25 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 10,013,645
-1 10,013,645
Keep dividing by the next highest number until you cannot divide anymore.

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

15791012513955051,2557,97919,82925,35139,89599,145126,7552,002,72910,013,645
-1-5-79-101-251-395-505-1,255-7,979-19,829-25,351-39,895-99,145-126,755-2,002,729-10,013,645

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 10,013,645:


Ask a Question