Q: What are the factor combinations of the number 18,346,699?

 A:
Positive:   1 x 183466997 x 262095731 x 59182959 x 310961217 x 84547413 x 444231433 x 128031829 x 10031
Negative: -1 x -18346699-7 x -2620957-31 x -591829-59 x -310961-217 x -84547-413 x -44423-1433 x -12803-1829 x -10031


How do I find the factor combinations of the number 18,346,699?

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 18,346,699, 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 18,346,699
-1 -18,346,699

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 18,346,699.

Example:
1 x 18,346,699 = 18,346,699
and
-1 x -18,346,699 = 18,346,699
Notice both answers equal 18,346,699

With that explanation out of the way, let's continue. Next, we take the number 18,346,699 and divide it by 2:

18,346,699 ÷ 2 = 9,173,349.5

If the quotient is a whole number, then 2 and 9,173,349.5 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 18,346,699
-1 -18,346,699

Now, we try dividing 18,346,699 by 3:

18,346,699 ÷ 3 = 6,115,566.3333

If the quotient is a whole number, then 3 and 6,115,566.3333 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 18,346,699
-1 -18,346,699

Let's try dividing by 4:

18,346,699 ÷ 4 = 4,586,674.75

If the quotient is a whole number, then 4 and 4,586,674.75 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 18,346,699
-1 18,346,699
Keep dividing by the next highest number until you cannot divide anymore.

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

1731592174131,4331,82910,03112,80344,42384,547310,961591,8292,620,95718,346,699
-1-7-31-59-217-413-1,433-1,829-10,031-12,803-44,423-84,547-310,961-591,829-2,620,957-18,346,699

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