Q: What are the factor combinations of the number 18,621,001?

 A:
Positive:   1 x 186210017 x 266014317 x 1095353119 x 156479167 x 111503937 x 198731169 x 159292839 x 6559
Negative: -1 x -18621001-7 x -2660143-17 x -1095353-119 x -156479-167 x -111503-937 x -19873-1169 x -15929-2839 x -6559


How do I find the factor combinations of the number 18,621,001?

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 18,621,001, 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 18,621,001
-1 -18,621,001

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 18,621,001.

Example:
1 x 18,621,001 = 18,621,001
and
-1 x -18,621,001 = 18,621,001
Notice both answers equal 18,621,001

With that explanation out of the way, let's continue. Next, we take the number 18,621,001 and divide it by 2:

18,621,001 ÷ 2 = 9,310,500.5

If the quotient is a whole number, then 2 and 9,310,500.5 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 18,621,001
-1 -18,621,001

Now, we try dividing 18,621,001 by 3:

18,621,001 ÷ 3 = 6,207,000.3333

If the quotient is a whole number, then 3 and 6,207,000.3333 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 18,621,001
-1 -18,621,001

Let's try dividing by 4:

18,621,001 ÷ 4 = 4,655,250.25

If the quotient is a whole number, then 4 and 4,655,250.25 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 18,621,001
-1 18,621,001
Keep dividing by the next highest number until you cannot divide anymore.

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

17171191679371,1692,8396,55915,92919,873111,503156,4791,095,3532,660,14318,621,001
-1-7-17-119-167-937-1,169-2,839-6,559-15,929-19,873-111,503-156,479-1,095,353-2,660,143-18,621,001

More Examples

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