Q: What are the factor combinations of the number 400,030,099?

 A:
Positive:   1 x 4000300997 x 5714715723 x 17392613161 x 2484659617 x 6483474027 x 993374319 x 9262114191 x 28189
Negative: -1 x -400030099-7 x -57147157-23 x -17392613-161 x -2484659-617 x -648347-4027 x -99337-4319 x -92621-14191 x -28189


How do I find the factor combinations of the number 400,030,099?

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 400,030,099, 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.

1 400,030,099
-1 -400,030,099

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 400,030,099.

Example:
1 x 400,030,099 = 400,030,099
and
-1 x -400,030,099 = 400,030,099
Notice both answers equal 400,030,099

With that explanation out of the way, let's continue. Next, we take the number 400,030,099 and divide it by 2:

400,030,099 ÷ 2 = 200,015,049.5

If the quotient is a whole number, then 2 and 200,015,049.5 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:

1 400,030,099
-1 -400,030,099

Now, we try dividing 400,030,099 by 3:

400,030,099 ÷ 3 = 133,343,366.3333

If the quotient is a whole number, then 3 and 133,343,366.3333 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:

1 400,030,099
-1 -400,030,099

Let's try dividing by 4:

400,030,099 ÷ 4 = 100,007,524.75

If the quotient is a whole number, then 4 and 100,007,524.75 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:

1 400,030,099
-1 400,030,099
Keep dividing by the next highest number until you cannot divide anymore.

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

17231616174,0274,31914,19128,18992,62199,337648,3472,484,65917,392,61357,147,157400,030,099
-1-7-23-161-617-4,027-4,319-14,191-28,189-92,621-99,337-648,347-2,484,659-17,392,613-57,147,157-400,030,099

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