Q: What are the factor combinations of the number 10,862,423?

 A:
Positive:   1 x 1086242311 x 98749313 x 83557137 x 293579143 x 75961407 x 26689481 x 225832053 x 5291
Negative: -1 x -10862423-11 x -987493-13 x -835571-37 x -293579-143 x -75961-407 x -26689-481 x -22583-2053 x -5291


How do I find the factor combinations of the number 10,862,423?

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 10,862,423, 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 10,862,423
-1 -10,862,423

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 10,862,423.

Example:
1 x 10,862,423 = 10,862,423
and
-1 x -10,862,423 = 10,862,423
Notice both answers equal 10,862,423

With that explanation out of the way, let's continue. Next, we take the number 10,862,423 and divide it by 2:

10,862,423 ÷ 2 = 5,431,211.5

If the quotient is a whole number, then 2 and 5,431,211.5 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 10,862,423
-1 -10,862,423

Now, we try dividing 10,862,423 by 3:

10,862,423 ÷ 3 = 3,620,807.6667

If the quotient is a whole number, then 3 and 3,620,807.6667 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 10,862,423
-1 -10,862,423

Let's try dividing by 4:

10,862,423 ÷ 4 = 2,715,605.75

If the quotient is a whole number, then 4 and 2,715,605.75 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 10,862,423
-1 10,862,423
Keep dividing by the next highest number until you cannot divide anymore.

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

11113371434074812,0535,29122,58326,68975,961293,579835,571987,49310,862,423
-1-11-13-37-143-407-481-2,053-5,291-22,583-26,689-75,961-293,579-835,571-987,493-10,862,423

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 10,862,423:


Ask a Question