Q: What are the factor combinations of the number 1,012,865?

 A:
Positive:   1 x 10128655 x 2025737 x 14469535 x 2893943 x 23555215 x 4711301 x 3365673 x 1505
Negative: -1 x -1012865-5 x -202573-7 x -144695-35 x -28939-43 x -23555-215 x -4711-301 x -3365-673 x -1505


How do I find the factor combinations of the number 1,012,865?

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 1,012,865, 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 1,012,865
-1 -1,012,865

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 1,012,865.

Example:
1 x 1,012,865 = 1,012,865
and
-1 x -1,012,865 = 1,012,865
Notice both answers equal 1,012,865

With that explanation out of the way, let's continue. Next, we take the number 1,012,865 and divide it by 2:

1,012,865 ÷ 2 = 506,432.5

If the quotient is a whole number, then 2 and 506,432.5 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 1,012,865
-1 -1,012,865

Now, we try dividing 1,012,865 by 3:

1,012,865 ÷ 3 = 337,621.6667

If the quotient is a whole number, then 3 and 337,621.6667 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 1,012,865
-1 -1,012,865

Let's try dividing by 4:

1,012,865 ÷ 4 = 253,216.25

If the quotient is a whole number, then 4 and 253,216.25 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 1,012,865
-1 1,012,865
Keep dividing by the next highest number until you cannot divide anymore.

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

15735432153016731,5053,3654,71123,55528,939144,695202,5731,012,865
-1-5-7-35-43-215-301-673-1,505-3,365-4,711-23,555-28,939-144,695-202,573-1,012,865

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,012,865:


Ask a Question