Q: What are the factor combinations of the number 1,011,955?

 A:
Positive:   1 x 10119555 x 2023917 x 14456529 x 3489535 x 28913145 x 6979203 x 4985997 x 1015
Negative: -1 x -1011955-5 x -202391-7 x -144565-29 x -34895-35 x -28913-145 x -6979-203 x -4985-997 x -1015


How do I find the factor combinations of the number 1,011,955?

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 1,011,955, 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 1,011,955
-1 -1,011,955

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 1,011,955.

Example:
1 x 1,011,955 = 1,011,955
and
-1 x -1,011,955 = 1,011,955
Notice both answers equal 1,011,955

With that explanation out of the way, let's continue. Next, we take the number 1,011,955 and divide it by 2:

1,011,955 ÷ 2 = 505,977.5

If the quotient is a whole number, then 2 and 505,977.5 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 1,011,955
-1 -1,011,955

Now, we try dividing 1,011,955 by 3:

1,011,955 ÷ 3 = 337,318.3333

If the quotient is a whole number, then 3 and 337,318.3333 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 1,011,955
-1 -1,011,955

Let's try dividing by 4:

1,011,955 ÷ 4 = 252,988.75

If the quotient is a whole number, then 4 and 252,988.75 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 1,011,955
-1 1,011,955
Keep dividing by the next highest number until you cannot divide anymore.

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

15729351452039971,0154,9856,97928,91334,895144,565202,3911,011,955
-1-5-7-29-35-145-203-997-1,015-4,985-6,979-28,913-34,895-144,565-202,391-1,011,955

More Examples

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