Q: What are the factor combinations of the number 430,310,165?

 A:
Positive:   1 x 4303101655 x 8606203361 x 7054265305 x 1410853967 x 4449951459 x 2949354835 x 889997295 x 58987
Negative: -1 x -430310165-5 x -86062033-61 x -7054265-305 x -1410853-967 x -444995-1459 x -294935-4835 x -88999-7295 x -58987


How do I find the factor combinations of the number 430,310,165?

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 430,310,165, 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.

1 430,310,165
-1 -430,310,165

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 430,310,165.

Example:
1 x 430,310,165 = 430,310,165
and
-1 x -430,310,165 = 430,310,165
Notice both answers equal 430,310,165

With that explanation out of the way, let's continue. Next, we take the number 430,310,165 and divide it by 2:

430,310,165 ÷ 2 = 215,155,082.5

If the quotient is a whole number, then 2 and 215,155,082.5 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:

1 430,310,165
-1 -430,310,165

Now, we try dividing 430,310,165 by 3:

430,310,165 ÷ 3 = 143,436,721.6667

If the quotient is a whole number, then 3 and 143,436,721.6667 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:

1 430,310,165
-1 -430,310,165

Let's try dividing by 4:

430,310,165 ÷ 4 = 107,577,541.25

If the quotient is a whole number, then 4 and 107,577,541.25 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:

1 430,310,165
-1 430,310,165
Keep dividing by the next highest number until you cannot divide anymore.

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

15613059671,4594,8357,29558,98788,999294,935444,9951,410,8537,054,26586,062,033430,310,165
-1-5-61-305-967-1,459-4,835-7,295-58,987-88,999-294,935-444,995-1,410,853-7,054,265-86,062,033-430,310,165

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