Q: What are the factor combinations of the number 477,361,153?

 A:
Positive:   1 x 47736115359 x 809086797 x 4921249239 x 1997327349 x 13677975723 x 8341114101 x 3385320591 x 23183
Negative: -1 x -477361153-59 x -8090867-97 x -4921249-239 x -1997327-349 x -1367797-5723 x -83411-14101 x -33853-20591 x -23183


How do I find the factor combinations of the number 477,361,153?

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 477,361,153, 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.

1 477,361,153
-1 -477,361,153

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 477,361,153.

Example:
1 x 477,361,153 = 477,361,153
and
-1 x -477,361,153 = 477,361,153
Notice both answers equal 477,361,153

With that explanation out of the way, let's continue. Next, we take the number 477,361,153 and divide it by 2:

477,361,153 ÷ 2 = 238,680,576.5

If the quotient is a whole number, then 2 and 238,680,576.5 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:

1 477,361,153
-1 -477,361,153

Now, we try dividing 477,361,153 by 3:

477,361,153 ÷ 3 = 159,120,384.3333

If the quotient is a whole number, then 3 and 159,120,384.3333 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:

1 477,361,153
-1 -477,361,153

Let's try dividing by 4:

477,361,153 ÷ 4 = 119,340,288.25

If the quotient is a whole number, then 4 and 119,340,288.25 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:

1 477,361,153
-1 477,361,153
Keep dividing by the next highest number until you cannot divide anymore.

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

159972393495,72314,10120,59123,18333,85383,4111,367,7971,997,3274,921,2498,090,867477,361,153
-1-59-97-239-349-5,723-14,101-20,591-23,183-33,853-83,411-1,367,797-1,997,327-4,921,249-8,090,867-477,361,153

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