Q: What are the factor combinations of the number 404,224,045?

 A:
Positive:   1 x 4042240455 x 8084480917 x 2377788559 x 685125585 x 4755577295 x 13702511003 x 4030155015 x 80603
Negative: -1 x -404224045-5 x -80844809-17 x -23777885-59 x -6851255-85 x -4755577-295 x -1370251-1003 x -403015-5015 x -80603


How do I find the factor combinations of the number 404,224,045?

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 404,224,045, 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.

1 404,224,045
-1 -404,224,045

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 404,224,045.

Example:
1 x 404,224,045 = 404,224,045
and
-1 x -404,224,045 = 404,224,045
Notice both answers equal 404,224,045

With that explanation out of the way, let's continue. Next, we take the number 404,224,045 and divide it by 2:

404,224,045 ÷ 2 = 202,112,022.5

If the quotient is a whole number, then 2 and 202,112,022.5 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:

1 404,224,045
-1 -404,224,045

Now, we try dividing 404,224,045 by 3:

404,224,045 ÷ 3 = 134,741,348.3333

If the quotient is a whole number, then 3 and 134,741,348.3333 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:

1 404,224,045
-1 -404,224,045

Let's try dividing by 4:

404,224,045 ÷ 4 = 101,056,011.25

If the quotient is a whole number, then 4 and 101,056,011.25 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:

1 404,224,045
-1 404,224,045
Keep dividing by the next highest number until you cannot divide anymore.

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

151759852951,0035,01580,603403,0151,370,2514,755,5776,851,25523,777,88580,844,809404,224,045
-1-5-17-59-85-295-1,003-5,015-80,603-403,015-1,370,251-4,755,577-6,851,255-23,777,885-80,844,809-404,224,045

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