Q: What are the factor combinations of the number 485,324,657?

 A:
Positive:   1 x 48532465719 x 2554340329 x 1673533353 x 9157069551 x 8808071007 x 4819511537 x 31576116619 x 29203
Negative: -1 x -485324657-19 x -25543403-29 x -16735333-53 x -9157069-551 x -880807-1007 x -481951-1537 x -315761-16619 x -29203


How do I find the factor combinations of the number 485,324,657?

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 485,324,657, 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.

1 485,324,657
-1 -485,324,657

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 485,324,657.

Example:
1 x 485,324,657 = 485,324,657
and
-1 x -485,324,657 = 485,324,657
Notice both answers equal 485,324,657

With that explanation out of the way, let's continue. Next, we take the number 485,324,657 and divide it by 2:

485,324,657 ÷ 2 = 242,662,328.5

If the quotient is a whole number, then 2 and 242,662,328.5 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:

1 485,324,657
-1 -485,324,657

Now, we try dividing 485,324,657 by 3:

485,324,657 ÷ 3 = 161,774,885.6667

If the quotient is a whole number, then 3 and 161,774,885.6667 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:

1 485,324,657
-1 -485,324,657

Let's try dividing by 4:

485,324,657 ÷ 4 = 121,331,164.25

If the quotient is a whole number, then 4 and 121,331,164.25 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:

1 485,324,657
-1 485,324,657
Keep dividing by the next highest number until you cannot divide anymore.

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

11929535511,0071,53716,61929,203315,761481,951880,8079,157,06916,735,33325,543,403485,324,657
-1-19-29-53-551-1,007-1,537-16,619-29,203-315,761-481,951-880,807-9,157,069-16,735,333-25,543,403-485,324,657

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