Q: What are the factor combinations of the number 10,012,535?

 A:
Positive:   1 x 100125355 x 200250713 x 77019531 x 32298565 x 154039155 x 64597403 x 248452015 x 4969
Negative: -1 x -10012535-5 x -2002507-13 x -770195-31 x -322985-65 x -154039-155 x -64597-403 x -24845-2015 x -4969


How do I find the factor combinations of the number 10,012,535?

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 10,012,535, 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 10,012,535
-1 -10,012,535

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 10,012,535.

Example:
1 x 10,012,535 = 10,012,535
and
-1 x -10,012,535 = 10,012,535
Notice both answers equal 10,012,535

With that explanation out of the way, let's continue. Next, we take the number 10,012,535 and divide it by 2:

10,012,535 ÷ 2 = 5,006,267.5

If the quotient is a whole number, then 2 and 5,006,267.5 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 10,012,535
-1 -10,012,535

Now, we try dividing 10,012,535 by 3:

10,012,535 ÷ 3 = 3,337,511.6667

If the quotient is a whole number, then 3 and 3,337,511.6667 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 10,012,535
-1 -10,012,535

Let's try dividing by 4:

10,012,535 ÷ 4 = 2,503,133.75

If the quotient is a whole number, then 4 and 2,503,133.75 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 10,012,535
-1 10,012,535
Keep dividing by the next highest number until you cannot divide anymore.

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

151331651554032,0154,96924,84564,597154,039322,985770,1952,002,50710,012,535
-1-5-13-31-65-155-403-2,015-4,969-24,845-64,597-154,039-322,985-770,195-2,002,507-10,012,535

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 10,012,535:


Ask a Question