Q: What are the factor combinations of the number 10,628,629?

 A:
Positive:   1 x 1062862911 x 96623931 x 34285971 x 149699341 x 31169439 x 24211781 x 136092201 x 4829
Negative: -1 x -10628629-11 x -966239-31 x -342859-71 x -149699-341 x -31169-439 x -24211-781 x -13609-2201 x -4829


How do I find the factor combinations of the number 10,628,629?

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 10,628,629, 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 10,628,629
-1 -10,628,629

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 10,628,629.

Example:
1 x 10,628,629 = 10,628,629
and
-1 x -10,628,629 = 10,628,629
Notice both answers equal 10,628,629

With that explanation out of the way, let's continue. Next, we take the number 10,628,629 and divide it by 2:

10,628,629 ÷ 2 = 5,314,314.5

If the quotient is a whole number, then 2 and 5,314,314.5 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 10,628,629
-1 -10,628,629

Now, we try dividing 10,628,629 by 3:

10,628,629 ÷ 3 = 3,542,876.3333

If the quotient is a whole number, then 3 and 3,542,876.3333 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 10,628,629
-1 -10,628,629

Let's try dividing by 4:

10,628,629 ÷ 4 = 2,657,157.25

If the quotient is a whole number, then 4 and 2,657,157.25 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 10,628,629
-1 10,628,629
Keep dividing by the next highest number until you cannot divide anymore.

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

11131713414397812,2014,82913,60924,21131,169149,699342,859966,23910,628,629
-1-11-31-71-341-439-781-2,201-4,829-13,609-24,211-31,169-149,699-342,859-966,239-10,628,629

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 10,628,629:


Ask a Question