Q: What are the factor combinations of the number 46,625,545?

 A:
Positive:   1 x 466255455 x 932510943 x 1084315215 x 216863229 x 203605947 x 492351145 x 407214735 x 9847
Negative: -1 x -46625545-5 x -9325109-43 x -1084315-215 x -216863-229 x -203605-947 x -49235-1145 x -40721-4735 x -9847


How do I find the factor combinations of the number 46,625,545?

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 46,625,545, 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 46,625,545
-1 -46,625,545

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 46,625,545.

Example:
1 x 46,625,545 = 46,625,545
and
-1 x -46,625,545 = 46,625,545
Notice both answers equal 46,625,545

With that explanation out of the way, let's continue. Next, we take the number 46,625,545 and divide it by 2:

46,625,545 ÷ 2 = 23,312,772.5

If the quotient is a whole number, then 2 and 23,312,772.5 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 46,625,545
-1 -46,625,545

Now, we try dividing 46,625,545 by 3:

46,625,545 ÷ 3 = 15,541,848.3333

If the quotient is a whole number, then 3 and 15,541,848.3333 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 46,625,545
-1 -46,625,545

Let's try dividing by 4:

46,625,545 ÷ 4 = 11,656,386.25

If the quotient is a whole number, then 4 and 11,656,386.25 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 46,625,545
-1 46,625,545
Keep dividing by the next highest number until you cannot divide anymore.

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

15432152299471,1454,7359,84740,72149,235203,605216,8631,084,3159,325,10946,625,545
-1-5-43-215-229-947-1,145-4,735-9,847-40,721-49,235-203,605-216,863-1,084,315-9,325,109-46,625,545

More Examples

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