Q: What are the factor combinations of the number 10,422,887?

 A:
Positive:   1 x 1042288717 x 61311119 x 54857323 x 45316961 x 170867323 x 32269391 x 26657437 x 23851529 x 197031037 x 100511159 x 89931403 x 7429
Negative: -1 x -10422887-17 x -613111-19 x -548573-23 x -453169-61 x -170867-323 x -32269-391 x -26657-437 x -23851-529 x -19703-1037 x -10051-1159 x -8993-1403 x -7429


How do I find the factor combinations of the number 10,422,887?

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 10,422,887, 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 10,422,887
-1 -10,422,887

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 10,422,887.

Example:
1 x 10,422,887 = 10,422,887
and
-1 x -10,422,887 = 10,422,887
Notice both answers equal 10,422,887

With that explanation out of the way, let's continue. Next, we take the number 10,422,887 and divide it by 2:

10,422,887 ÷ 2 = 5,211,443.5

If the quotient is a whole number, then 2 and 5,211,443.5 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 10,422,887
-1 -10,422,887

Now, we try dividing 10,422,887 by 3:

10,422,887 ÷ 3 = 3,474,295.6667

If the quotient is a whole number, then 3 and 3,474,295.6667 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 10,422,887
-1 -10,422,887

Let's try dividing by 4:

10,422,887 ÷ 4 = 2,605,721.75

If the quotient is a whole number, then 4 and 2,605,721.75 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 10,422,887
-1 10,422,887
Keep dividing by the next highest number until you cannot divide anymore.

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

1171923613233914375291,0371,1591,4037,4298,99310,05119,70323,85126,65732,269170,867453,169548,573613,11110,422,887
-1-17-19-23-61-323-391-437-529-1,037-1,159-1,403-7,429-8,993-10,051-19,703-23,851-26,657-32,269-170,867-453,169-548,573-613,111-10,422,887

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 10,422,887:


Ask a Question