Q: What are the factor combinations of the number 1,036,609?

 A:
Positive:   1 x 10366097 x 14808717 x 6097731 x 33439119 x 8711217 x 4777281 x 3689527 x 1967
Negative: -1 x -1036609-7 x -148087-17 x -60977-31 x -33439-119 x -8711-217 x -4777-281 x -3689-527 x -1967


How do I find the factor combinations of the number 1,036,609?

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 1,036,609, 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 1,036,609
-1 -1,036,609

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 1,036,609.

Example:
1 x 1,036,609 = 1,036,609
and
-1 x -1,036,609 = 1,036,609
Notice both answers equal 1,036,609

With that explanation out of the way, let's continue. Next, we take the number 1,036,609 and divide it by 2:

1,036,609 ÷ 2 = 518,304.5

If the quotient is a whole number, then 2 and 518,304.5 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 1,036,609
-1 -1,036,609

Now, we try dividing 1,036,609 by 3:

1,036,609 ÷ 3 = 345,536.3333

If the quotient is a whole number, then 3 and 345,536.3333 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 1,036,609
-1 -1,036,609

Let's try dividing by 4:

1,036,609 ÷ 4 = 259,152.25

If the quotient is a whole number, then 4 and 259,152.25 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 1,036,609
-1 1,036,609
Keep dividing by the next highest number until you cannot divide anymore.

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

1717311192172815271,9673,6894,7778,71133,43960,977148,0871,036,609
-1-7-17-31-119-217-281-527-1,967-3,689-4,777-8,711-33,439-60,977-148,087-1,036,609

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,036,609:


Ask a Question