Q: What are the factor combinations of the number 1,240,031?

 A:
Positive:   1 x 124003113 x 9538717 x 7294331 x 40001181 x 6851221 x 5611403 x 3077527 x 2353
Negative: -1 x -1240031-13 x -95387-17 x -72943-31 x -40001-181 x -6851-221 x -5611-403 x -3077-527 x -2353


How do I find the factor combinations of the number 1,240,031?

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 1,240,031, 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 1,240,031
-1 -1,240,031

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 1,240,031.

Example:
1 x 1,240,031 = 1,240,031
and
-1 x -1,240,031 = 1,240,031
Notice both answers equal 1,240,031

With that explanation out of the way, let's continue. Next, we take the number 1,240,031 and divide it by 2:

1,240,031 ÷ 2 = 620,015.5

If the quotient is a whole number, then 2 and 620,015.5 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 1,240,031
-1 -1,240,031

Now, we try dividing 1,240,031 by 3:

1,240,031 ÷ 3 = 413,343.6667

If the quotient is a whole number, then 3 and 413,343.6667 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 1,240,031
-1 -1,240,031

Let's try dividing by 4:

1,240,031 ÷ 4 = 310,007.75

If the quotient is a whole number, then 4 and 310,007.75 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 1,240,031
-1 1,240,031
Keep dividing by the next highest number until you cannot divide anymore.

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

11317311812214035272,3533,0775,6116,85140,00172,94395,3871,240,031
-1-13-17-31-181-221-403-527-2,353-3,077-5,611-6,851-40,001-72,943-95,387-1,240,031

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,240,031:


Ask a Question