Q: What are the factor combinations of the number 8,013,355?

 A:
Positive:   1 x 80133555 x 16026717 x 114476535 x 228953
Negative: -1 x -8013355-5 x -1602671-7 x -1144765-35 x -228953


How do I find the factor combinations of the number 8,013,355?

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 8,013,355, 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 8,013,355
-1 -8,013,355

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 8,013,355.

Example:
1 x 8,013,355 = 8,013,355
and
-1 x -8,013,355 = 8,013,355
Notice both answers equal 8,013,355

With that explanation out of the way, let's continue. Next, we take the number 8,013,355 and divide it by 2:

8,013,355 ÷ 2 = 4,006,677.5

If the quotient is a whole number, then 2 and 4,006,677.5 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 8,013,355
-1 -8,013,355

Now, we try dividing 8,013,355 by 3:

8,013,355 ÷ 3 = 2,671,118.3333

If the quotient is a whole number, then 3 and 2,671,118.3333 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 8,013,355
-1 -8,013,355

Let's try dividing by 4:

8,013,355 ÷ 4 = 2,003,338.75

If the quotient is a whole number, then 4 and 2,003,338.75 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 8,013,355
-1 8,013,355
Keep dividing by the next highest number until you cannot divide anymore.

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

15735228,9531,144,7651,602,6718,013,355
-1-5-7-35-228,953-1,144,765-1,602,671-8,013,355

More Examples

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