Q: What are the factor combinations of the number 872,053?

 A:
Positive:   1 x 8720537 x 12457913 x 6708137 x 2356949 x 1779791 x 9583259 x 3367481 x 1813637 x 1369
Negative: -1 x -872053-7 x -124579-13 x -67081-37 x -23569-49 x -17797-91 x -9583-259 x -3367-481 x -1813-637 x -1369


How do I find the factor combinations of the number 872,053?

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 872,053, 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.

1 872,053
-1 -872,053

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 872,053.

Example:
1 x 872,053 = 872,053
and
-1 x -872,053 = 872,053
Notice both answers equal 872,053

With that explanation out of the way, let's continue. Next, we take the number 872,053 and divide it by 2:

872,053 ÷ 2 = 436,026.5

If the quotient is a whole number, then 2 and 436,026.5 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:

1 872,053
-1 -872,053

Now, we try dividing 872,053 by 3:

872,053 ÷ 3 = 290,684.3333

If the quotient is a whole number, then 3 and 290,684.3333 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:

1 872,053
-1 -872,053

Let's try dividing by 4:

872,053 ÷ 4 = 218,013.25

If the quotient is a whole number, then 4 and 218,013.25 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:

1 872,053
-1 872,053
Keep dividing by the next highest number until you cannot divide anymore.

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

17133749912594816371,3691,8133,3679,58317,79723,56967,081124,579872,053
-1-7-13-37-49-91-259-481-637-1,369-1,813-3,367-9,583-17,797-23,569-67,081-124,579-872,053

More Examples

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