Q: What are the factor combinations of the number 46,123,253?

 A:
Positive:   1 x 4612325311 x 419302329 x 1590457191 x 241483319 x 144587757 x 609292101 x 219535539 x 8327
Negative: -1 x -46123253-11 x -4193023-29 x -1590457-191 x -241483-319 x -144587-757 x -60929-2101 x -21953-5539 x -8327


How do I find the factor combinations of the number 46,123,253?

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 46,123,253, 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 46,123,253
-1 -46,123,253

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 46,123,253.

Example:
1 x 46,123,253 = 46,123,253
and
-1 x -46,123,253 = 46,123,253
Notice both answers equal 46,123,253

With that explanation out of the way, let's continue. Next, we take the number 46,123,253 and divide it by 2:

46,123,253 ÷ 2 = 23,061,626.5

If the quotient is a whole number, then 2 and 23,061,626.5 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 46,123,253
-1 -46,123,253

Now, we try dividing 46,123,253 by 3:

46,123,253 ÷ 3 = 15,374,417.6667

If the quotient is a whole number, then 3 and 15,374,417.6667 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 46,123,253
-1 -46,123,253

Let's try dividing by 4:

46,123,253 ÷ 4 = 11,530,813.25

If the quotient is a whole number, then 4 and 11,530,813.25 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 46,123,253
-1 46,123,253
Keep dividing by the next highest number until you cannot divide anymore.

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

111291913197572,1015,5398,32721,95360,929144,587241,4831,590,4574,193,02346,123,253
-1-11-29-191-319-757-2,101-5,539-8,327-21,953-60,929-144,587-241,483-1,590,457-4,193,023-46,123,253

More Examples

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