Q: What are the factor combinations of the number 1,013,555?

 A:
Positive:   1 x 10135555 x 20271119 x 5334547 x 2156595 x 10669227 x 4465235 x 4313893 x 1135
Negative: -1 x -1013555-5 x -202711-19 x -53345-47 x -21565-95 x -10669-227 x -4465-235 x -4313-893 x -1135


How do I find the factor combinations of the number 1,013,555?

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 1,013,555, 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 1,013,555
-1 -1,013,555

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 1,013,555.

Example:
1 x 1,013,555 = 1,013,555
and
-1 x -1,013,555 = 1,013,555
Notice both answers equal 1,013,555

With that explanation out of the way, let's continue. Next, we take the number 1,013,555 and divide it by 2:

1,013,555 ÷ 2 = 506,777.5

If the quotient is a whole number, then 2 and 506,777.5 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 1,013,555
-1 -1,013,555

Now, we try dividing 1,013,555 by 3:

1,013,555 ÷ 3 = 337,851.6667

If the quotient is a whole number, then 3 and 337,851.6667 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 1,013,555
-1 -1,013,555

Let's try dividing by 4:

1,013,555 ÷ 4 = 253,388.75

If the quotient is a whole number, then 4 and 253,388.75 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 1,013,555
-1 1,013,555
Keep dividing by the next highest number until you cannot divide anymore.

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

151947952272358931,1354,3134,46510,66921,56553,345202,7111,013,555
-1-5-19-47-95-227-235-893-1,135-4,313-4,465-10,669-21,565-53,345-202,711-1,013,555

More Examples

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