Q: What are the factor combinations of the number 46,050,355?

 A:
Positive:   1 x 460503555 x 921007113 x 354233565 x 708467227 x 2028651135 x 405732951 x 156053121 x 14755
Negative: -1 x -46050355-5 x -9210071-13 x -3542335-65 x -708467-227 x -202865-1135 x -40573-2951 x -15605-3121 x -14755


How do I find the factor combinations of the number 46,050,355?

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 46,050,355, 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 46,050,355
-1 -46,050,355

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 46,050,355.

Example:
1 x 46,050,355 = 46,050,355
and
-1 x -46,050,355 = 46,050,355
Notice both answers equal 46,050,355

With that explanation out of the way, let's continue. Next, we take the number 46,050,355 and divide it by 2:

46,050,355 ÷ 2 = 23,025,177.5

If the quotient is a whole number, then 2 and 23,025,177.5 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 46,050,355
-1 -46,050,355

Now, we try dividing 46,050,355 by 3:

46,050,355 ÷ 3 = 15,350,118.3333

If the quotient is a whole number, then 3 and 15,350,118.3333 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 46,050,355
-1 -46,050,355

Let's try dividing by 4:

46,050,355 ÷ 4 = 11,512,588.75

If the quotient is a whole number, then 4 and 11,512,588.75 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 46,050,355
-1 46,050,355
Keep dividing by the next highest number until you cannot divide anymore.

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

1513652271,1352,9513,12114,75515,60540,573202,865708,4673,542,3359,210,07146,050,355
-1-5-13-65-227-1,135-2,951-3,121-14,755-15,605-40,573-202,865-708,467-3,542,335-9,210,071-46,050,355

More Examples

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