Q: What are the factor combinations of the number 18,740,069?

 A:
Positive:   1 x 1874006917 x 1102357631 x 296991747 x 10727
Negative: -1 x -18740069-17 x -1102357-631 x -29699-1747 x -10727


How do I find the factor combinations of the number 18,740,069?

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 18,740,069, 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 18,740,069
-1 -18,740,069

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 18,740,069.

Example:
1 x 18,740,069 = 18,740,069
and
-1 x -18,740,069 = 18,740,069
Notice both answers equal 18,740,069

With that explanation out of the way, let's continue. Next, we take the number 18,740,069 and divide it by 2:

18,740,069 ÷ 2 = 9,370,034.5

If the quotient is a whole number, then 2 and 9,370,034.5 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 18,740,069
-1 -18,740,069

Now, we try dividing 18,740,069 by 3:

18,740,069 ÷ 3 = 6,246,689.6667

If the quotient is a whole number, then 3 and 6,246,689.6667 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 18,740,069
-1 -18,740,069

Let's try dividing by 4:

18,740,069 ÷ 4 = 4,685,017.25

If the quotient is a whole number, then 4 and 4,685,017.25 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 18,740,069
-1 18,740,069
Keep dividing by the next highest number until you cannot divide anymore.

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

1176311,74710,72729,6991,102,35718,740,069
-1-17-631-1,747-10,727-29,699-1,102,357-18,740,069

More Examples

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