Q: What are the factor combinations of the number 8,870,315?

 A:
Positive:   1 x 88703155 x 177406361 x 145415127 x 69845229 x 38735305 x 29083635 x 139691145 x 7747
Negative: -1 x -8870315-5 x -1774063-61 x -145415-127 x -69845-229 x -38735-305 x -29083-635 x -13969-1145 x -7747


How do I find the factor combinations of the number 8,870,315?

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 8,870,315, 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 8,870,315
-1 -8,870,315

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 8,870,315.

Example:
1 x 8,870,315 = 8,870,315
and
-1 x -8,870,315 = 8,870,315
Notice both answers equal 8,870,315

With that explanation out of the way, let's continue. Next, we take the number 8,870,315 and divide it by 2:

8,870,315 ÷ 2 = 4,435,157.5

If the quotient is a whole number, then 2 and 4,435,157.5 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 8,870,315
-1 -8,870,315

Now, we try dividing 8,870,315 by 3:

8,870,315 ÷ 3 = 2,956,771.6667

If the quotient is a whole number, then 3 and 2,956,771.6667 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 8,870,315
-1 -8,870,315

Let's try dividing by 4:

8,870,315 ÷ 4 = 2,217,578.75

If the quotient is a whole number, then 4 and 2,217,578.75 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 8,870,315
-1 8,870,315
Keep dividing by the next highest number until you cannot divide anymore.

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

15611272293056351,1457,74713,96929,08338,73569,845145,4151,774,0638,870,315
-1-5-61-127-229-305-635-1,145-7,747-13,969-29,083-38,735-69,845-145,415-1,774,063-8,870,315

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