Q: What are the factor combinations of the number 870,205?

 A:
Positive:   1 x 8702055 x 1740417 x 12431523 x 3783535 x 2486347 x 18515115 x 7567161 x 5405235 x 3703329 x 2645529 x 1645805 x 1081
Negative: -1 x -870205-5 x -174041-7 x -124315-23 x -37835-35 x -24863-47 x -18515-115 x -7567-161 x -5405-235 x -3703-329 x -2645-529 x -1645-805 x -1081


How do I find the factor combinations of the number 870,205?

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 870,205, 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.

1 870,205
-1 -870,205

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 870,205.

Example:
1 x 870,205 = 870,205
and
-1 x -870,205 = 870,205
Notice both answers equal 870,205

With that explanation out of the way, let's continue. Next, we take the number 870,205 and divide it by 2:

870,205 ÷ 2 = 435,102.5

If the quotient is a whole number, then 2 and 435,102.5 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:

1 870,205
-1 -870,205

Now, we try dividing 870,205 by 3:

870,205 ÷ 3 = 290,068.3333

If the quotient is a whole number, then 3 and 290,068.3333 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:

1 870,205
-1 -870,205

Let's try dividing by 4:

870,205 ÷ 4 = 217,551.25

If the quotient is a whole number, then 4 and 217,551.25 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:

1 870,205
-1 870,205
Keep dividing by the next highest number until you cannot divide anymore.

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

1572335471151612353295298051,0811,6452,6453,7035,4057,56718,51524,86337,835124,315174,041870,205
-1-5-7-23-35-47-115-161-235-329-529-805-1,081-1,645-2,645-3,703-5,405-7,567-18,515-24,863-37,835-124,315-174,041-870,205

More Examples

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