Q: What are the factor combinations of the number 1,389,929?

 A:
Positive:   1 x 1389929887 x 1567
Negative: -1 x -1389929-887 x -1567


How do I find the factor combinations of the number 1,389,929?

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 1,389,929, 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 1,389,929
-1 -1,389,929

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 1,389,929.

Example:
1 x 1,389,929 = 1,389,929
and
-1 x -1,389,929 = 1,389,929
Notice both answers equal 1,389,929

With that explanation out of the way, let's continue. Next, we take the number 1,389,929 and divide it by 2:

1,389,929 ÷ 2 = 694,964.5

If the quotient is a whole number, then 2 and 694,964.5 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 1,389,929
-1 -1,389,929

Now, we try dividing 1,389,929 by 3:

1,389,929 ÷ 3 = 463,309.6667

If the quotient is a whole number, then 3 and 463,309.6667 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 1,389,929
-1 -1,389,929

Let's try dividing by 4:

1,389,929 ÷ 4 = 347,482.25

If the quotient is a whole number, then 4 and 347,482.25 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 1,389,929
-1 1,389,929
Keep dividing by the next highest number until you cannot divide anymore.

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

18871,5671,389,929
-1-887-1,567-1,389,929

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,389,929:


Ask a Question