Q: What are the factor combinations of the number 17,800,045?

 A:
Positive:   1 x 178000455 x 356000923 x 77391531 x 574195115 x 154783155 x 114839713 x 249653565 x 4993
Negative: -1 x -17800045-5 x -3560009-23 x -773915-31 x -574195-115 x -154783-155 x -114839-713 x -24965-3565 x -4993


How do I find the factor combinations of the number 17,800,045?

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 17,800,045, 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 17,800,045
-1 -17,800,045

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 17,800,045.

Example:
1 x 17,800,045 = 17,800,045
and
-1 x -17,800,045 = 17,800,045
Notice both answers equal 17,800,045

With that explanation out of the way, let's continue. Next, we take the number 17,800,045 and divide it by 2:

17,800,045 ÷ 2 = 8,900,022.5

If the quotient is a whole number, then 2 and 8,900,022.5 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 17,800,045
-1 -17,800,045

Now, we try dividing 17,800,045 by 3:

17,800,045 ÷ 3 = 5,933,348.3333

If the quotient is a whole number, then 3 and 5,933,348.3333 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 17,800,045
-1 -17,800,045

Let's try dividing by 4:

17,800,045 ÷ 4 = 4,450,011.25

If the quotient is a whole number, then 4 and 4,450,011.25 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 17,800,045
-1 17,800,045
Keep dividing by the next highest number until you cannot divide anymore.

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

1523311151557133,5654,99324,965114,839154,783574,195773,9153,560,00917,800,045
-1-5-23-31-115-155-713-3,565-4,993-24,965-114,839-154,783-574,195-773,915-3,560,009-17,800,045

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