Q: What are the factor combinations of the number 18,720,205?

 A:
Positive:   1 x 187202055 x 37440417 x 267431535 x 53486349 x 382045109 x 171745245 x 76409545 x 34349701 x 26705763 x 245353505 x 53413815 x 4907
Negative: -1 x -18720205-5 x -3744041-7 x -2674315-35 x -534863-49 x -382045-109 x -171745-245 x -76409-545 x -34349-701 x -26705-763 x -24535-3505 x -5341-3815 x -4907


How do I find the factor combinations of the number 18,720,205?

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 18,720,205, 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 18,720,205
-1 -18,720,205

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 18,720,205.

Example:
1 x 18,720,205 = 18,720,205
and
-1 x -18,720,205 = 18,720,205
Notice both answers equal 18,720,205

With that explanation out of the way, let's continue. Next, we take the number 18,720,205 and divide it by 2:

18,720,205 ÷ 2 = 9,360,102.5

If the quotient is a whole number, then 2 and 9,360,102.5 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 18,720,205
-1 -18,720,205

Now, we try dividing 18,720,205 by 3:

18,720,205 ÷ 3 = 6,240,068.3333

If the quotient is a whole number, then 3 and 6,240,068.3333 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 18,720,205
-1 -18,720,205

Let's try dividing by 4:

18,720,205 ÷ 4 = 4,680,051.25

If the quotient is a whole number, then 4 and 4,680,051.25 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 18,720,205
-1 18,720,205
Keep dividing by the next highest number until you cannot divide anymore.

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

15735491092455457017633,5053,8154,9075,34124,53526,70534,34976,409171,745382,045534,8632,674,3153,744,04118,720,205
-1-5-7-35-49-109-245-545-701-763-3,505-3,815-4,907-5,341-24,535-26,705-34,349-76,409-171,745-382,045-534,863-2,674,315-3,744,041-18,720,205

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