Q: What are the factor combinations of the number 313,155,143?

 A:
Positive:   1 x 3131551437 x 4473644923 x 13615441161 x 1945063463 x 6763613241 x 966234201 x 7454310649 x 29407
Negative: -1 x -313155143-7 x -44736449-23 x -13615441-161 x -1945063-463 x -676361-3241 x -96623-4201 x -74543-10649 x -29407


How do I find the factor combinations of the number 313,155,143?

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 313,155,143, 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.

1 313,155,143
-1 -313,155,143

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 313,155,143.

Example:
1 x 313,155,143 = 313,155,143
and
-1 x -313,155,143 = 313,155,143
Notice both answers equal 313,155,143

With that explanation out of the way, let's continue. Next, we take the number 313,155,143 and divide it by 2:

313,155,143 ÷ 2 = 156,577,571.5

If the quotient is a whole number, then 2 and 156,577,571.5 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:

1 313,155,143
-1 -313,155,143

Now, we try dividing 313,155,143 by 3:

313,155,143 ÷ 3 = 104,385,047.6667

If the quotient is a whole number, then 3 and 104,385,047.6667 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:

1 313,155,143
-1 -313,155,143

Let's try dividing by 4:

313,155,143 ÷ 4 = 78,288,785.75

If the quotient is a whole number, then 4 and 78,288,785.75 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:

1 313,155,143
-1 313,155,143
Keep dividing by the next highest number until you cannot divide anymore.

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

17231614633,2414,20110,64929,40774,54396,623676,3611,945,06313,615,44144,736,449313,155,143
-1-7-23-161-463-3,241-4,201-10,649-29,407-74,543-96,623-676,361-1,945,063-13,615,441-44,736,449-313,155,143

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