Q: What are the factor combinations of the number 46,890,029?

 A:
Positive:   1 x 4689002917 x 275823761 x 768689103 x 455243439 x 1068111037 x 452171751 x 267796283 x 7463
Negative: -1 x -46890029-17 x -2758237-61 x -768689-103 x -455243-439 x -106811-1037 x -45217-1751 x -26779-6283 x -7463


How do I find the factor combinations of the number 46,890,029?

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 46,890,029, 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 46,890,029
-1 -46,890,029

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 46,890,029.

Example:
1 x 46,890,029 = 46,890,029
and
-1 x -46,890,029 = 46,890,029
Notice both answers equal 46,890,029

With that explanation out of the way, let's continue. Next, we take the number 46,890,029 and divide it by 2:

46,890,029 ÷ 2 = 23,445,014.5

If the quotient is a whole number, then 2 and 23,445,014.5 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 46,890,029
-1 -46,890,029

Now, we try dividing 46,890,029 by 3:

46,890,029 ÷ 3 = 15,630,009.6667

If the quotient is a whole number, then 3 and 15,630,009.6667 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 46,890,029
-1 -46,890,029

Let's try dividing by 4:

46,890,029 ÷ 4 = 11,722,507.25

If the quotient is a whole number, then 4 and 11,722,507.25 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 46,890,029
-1 46,890,029
Keep dividing by the next highest number until you cannot divide anymore.

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

117611034391,0371,7516,2837,46326,77945,217106,811455,243768,6892,758,23746,890,029
-1-17-61-103-439-1,037-1,751-6,283-7,463-26,779-45,217-106,811-455,243-768,689-2,758,237-46,890,029

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