Q: What are the factor combinations of the number 1,013,467?

 A:
Positive:   1 x 10134677 x 14478113 x 7795937 x 2739143 x 2356949 x 2068391 x 11137259 x 3913301 x 3367481 x 2107559 x 1813637 x 1591
Negative: -1 x -1013467-7 x -144781-13 x -77959-37 x -27391-43 x -23569-49 x -20683-91 x -11137-259 x -3913-301 x -3367-481 x -2107-559 x -1813-637 x -1591


How do I find the factor combinations of the number 1,013,467?

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 1,013,467, 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 1,013,467
-1 -1,013,467

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 1,013,467.

Example:
1 x 1,013,467 = 1,013,467
and
-1 x -1,013,467 = 1,013,467
Notice both answers equal 1,013,467

With that explanation out of the way, let's continue. Next, we take the number 1,013,467 and divide it by 2:

1,013,467 ÷ 2 = 506,733.5

If the quotient is a whole number, then 2 and 506,733.5 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 1,013,467
-1 -1,013,467

Now, we try dividing 1,013,467 by 3:

1,013,467 ÷ 3 = 337,822.3333

If the quotient is a whole number, then 3 and 337,822.3333 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 1,013,467
-1 -1,013,467

Let's try dividing by 4:

1,013,467 ÷ 4 = 253,366.75

If the quotient is a whole number, then 4 and 253,366.75 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 1,013,467
-1 1,013,467
Keep dividing by the next highest number until you cannot divide anymore.

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

1713374349912593014815596371,5911,8132,1073,3673,91311,13720,68323,56927,39177,959144,7811,013,467
-1-7-13-37-43-49-91-259-301-481-559-637-1,591-1,813-2,107-3,367-3,913-11,137-20,683-23,569-27,391-77,959-144,781-1,013,467

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,013,467:


Ask a Question