Q: What are the factor combinations of the number 46,246,261?

 A:
Positive:   1 x 4624626123 x 201070747 x 983963179 x 258359239 x 1934991081 x 427814117 x 112335497 x 8413
Negative: -1 x -46246261-23 x -2010707-47 x -983963-179 x -258359-239 x -193499-1081 x -42781-4117 x -11233-5497 x -8413


How do I find the factor combinations of the number 46,246,261?

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 46,246,261, 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 46,246,261
-1 -46,246,261

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 46,246,261.

Example:
1 x 46,246,261 = 46,246,261
and
-1 x -46,246,261 = 46,246,261
Notice both answers equal 46,246,261

With that explanation out of the way, let's continue. Next, we take the number 46,246,261 and divide it by 2:

46,246,261 ÷ 2 = 23,123,130.5

If the quotient is a whole number, then 2 and 23,123,130.5 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 46,246,261
-1 -46,246,261

Now, we try dividing 46,246,261 by 3:

46,246,261 ÷ 3 = 15,415,420.3333

If the quotient is a whole number, then 3 and 15,415,420.3333 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 46,246,261
-1 -46,246,261

Let's try dividing by 4:

46,246,261 ÷ 4 = 11,561,565.25

If the quotient is a whole number, then 4 and 11,561,565.25 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 46,246,261
-1 46,246,261
Keep dividing by the next highest number until you cannot divide anymore.

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

123471792391,0814,1175,4978,41311,23342,781193,499258,359983,9632,010,70746,246,261
-1-23-47-179-239-1,081-4,117-5,497-8,413-11,233-42,781-193,499-258,359-983,963-2,010,707-46,246,261

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