Q: What are the factor combinations of the number 46,500,391?

 A:
Positive:   1 x 465003917 x 664291319 x 2447389133 x 349627211 x 2203811477 x 314831657 x 280634009 x 11599
Negative: -1 x -46500391-7 x -6642913-19 x -2447389-133 x -349627-211 x -220381-1477 x -31483-1657 x -28063-4009 x -11599


How do I find the factor combinations of the number 46,500,391?

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 46,500,391, 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 46,500,391
-1 -46,500,391

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 46,500,391.

Example:
1 x 46,500,391 = 46,500,391
and
-1 x -46,500,391 = 46,500,391
Notice both answers equal 46,500,391

With that explanation out of the way, let's continue. Next, we take the number 46,500,391 and divide it by 2:

46,500,391 ÷ 2 = 23,250,195.5

If the quotient is a whole number, then 2 and 23,250,195.5 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 46,500,391
-1 -46,500,391

Now, we try dividing 46,500,391 by 3:

46,500,391 ÷ 3 = 15,500,130.3333

If the quotient is a whole number, then 3 and 15,500,130.3333 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 46,500,391
-1 -46,500,391

Let's try dividing by 4:

46,500,391 ÷ 4 = 11,625,097.75

If the quotient is a whole number, then 4 and 11,625,097.75 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 46,500,391
-1 46,500,391
Keep dividing by the next highest number until you cannot divide anymore.

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

17191332111,4771,6574,00911,59928,06331,483220,381349,6272,447,3896,642,91346,500,391
-1-7-19-133-211-1,477-1,657-4,009-11,599-28,063-31,483-220,381-349,627-2,447,389-6,642,913-46,500,391

More Examples

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