Q: What are the factor combinations of the number 404,512,145?

 A:
Positive:   1 x 4045121455 x 80902429127 x 3185135281 x 1439545635 x 6370271405 x 2879092267 x 17843511335 x 35687
Negative: -1 x -404512145-5 x -80902429-127 x -3185135-281 x -1439545-635 x -637027-1405 x -287909-2267 x -178435-11335 x -35687


How do I find the factor combinations of the number 404,512,145?

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 404,512,145, 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.

1 404,512,145
-1 -404,512,145

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 404,512,145.

Example:
1 x 404,512,145 = 404,512,145
and
-1 x -404,512,145 = 404,512,145
Notice both answers equal 404,512,145

With that explanation out of the way, let's continue. Next, we take the number 404,512,145 and divide it by 2:

404,512,145 ÷ 2 = 202,256,072.5

If the quotient is a whole number, then 2 and 202,256,072.5 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:

1 404,512,145
-1 -404,512,145

Now, we try dividing 404,512,145 by 3:

404,512,145 ÷ 3 = 134,837,381.6667

If the quotient is a whole number, then 3 and 134,837,381.6667 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:

1 404,512,145
-1 -404,512,145

Let's try dividing by 4:

404,512,145 ÷ 4 = 101,128,036.25

If the quotient is a whole number, then 4 and 101,128,036.25 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:

1 404,512,145
-1 404,512,145
Keep dividing by the next highest number until you cannot divide anymore.

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

151272816351,4052,26711,33535,687178,435287,909637,0271,439,5453,185,13580,902,429404,512,145
-1-5-127-281-635-1,405-2,267-11,335-35,687-178,435-287,909-637,027-1,439,545-3,185,135-80,902,429-404,512,145

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