Q: What are the factor combinations of the number 8,602,069?

 A:
Positive:   1 x 86020697 x 122886723 x 374003101 x 85169161 x 53429529 x 16261707 x 121672323 x 3703
Negative: -1 x -8602069-7 x -1228867-23 x -374003-101 x -85169-161 x -53429-529 x -16261-707 x -12167-2323 x -3703


How do I find the factor combinations of the number 8,602,069?

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 8,602,069, 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 8,602,069
-1 -8,602,069

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 8,602,069.

Example:
1 x 8,602,069 = 8,602,069
and
-1 x -8,602,069 = 8,602,069
Notice both answers equal 8,602,069

With that explanation out of the way, let's continue. Next, we take the number 8,602,069 and divide it by 2:

8,602,069 ÷ 2 = 4,301,034.5

If the quotient is a whole number, then 2 and 4,301,034.5 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 8,602,069
-1 -8,602,069

Now, we try dividing 8,602,069 by 3:

8,602,069 ÷ 3 = 2,867,356.3333

If the quotient is a whole number, then 3 and 2,867,356.3333 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 8,602,069
-1 -8,602,069

Let's try dividing by 4:

8,602,069 ÷ 4 = 2,150,517.25

If the quotient is a whole number, then 4 and 2,150,517.25 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 8,602,069
-1 8,602,069
Keep dividing by the next highest number until you cannot divide anymore.

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

17231011615297072,3233,70312,16716,26153,42985,169374,0031,228,8678,602,069
-1-7-23-101-161-529-707-2,323-3,703-12,167-16,261-53,429-85,169-374,003-1,228,867-8,602,069

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