Q: What are the factor combinations of the number 46,541,033?

 A:
Positive:   1 x 465410337 x 664871911 x 423100349 x 94981777 x 60442979 x 589127539 x 86347553 x 84161869 x 535571093 x 425813871 x 120236083 x 7651
Negative: -1 x -46541033-7 x -6648719-11 x -4231003-49 x -949817-77 x -604429-79 x -589127-539 x -86347-553 x -84161-869 x -53557-1093 x -42581-3871 x -12023-6083 x -7651


How do I find the factor combinations of the number 46,541,033?

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 46,541,033, 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 46,541,033
-1 -46,541,033

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 46,541,033.

Example:
1 x 46,541,033 = 46,541,033
and
-1 x -46,541,033 = 46,541,033
Notice both answers equal 46,541,033

With that explanation out of the way, let's continue. Next, we take the number 46,541,033 and divide it by 2:

46,541,033 ÷ 2 = 23,270,516.5

If the quotient is a whole number, then 2 and 23,270,516.5 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 46,541,033
-1 -46,541,033

Now, we try dividing 46,541,033 by 3:

46,541,033 ÷ 3 = 15,513,677.6667

If the quotient is a whole number, then 3 and 15,513,677.6667 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 46,541,033
-1 -46,541,033

Let's try dividing by 4:

46,541,033 ÷ 4 = 11,635,258.25

If the quotient is a whole number, then 4 and 11,635,258.25 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 46,541,033
-1 46,541,033
Keep dividing by the next highest number until you cannot divide anymore.

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

17114977795395538691,0933,8716,0837,65112,02342,58153,55784,16186,347589,127604,429949,8174,231,0036,648,71946,541,033
-1-7-11-49-77-79-539-553-869-1,093-3,871-6,083-7,651-12,023-42,581-53,557-84,161-86,347-589,127-604,429-949,817-4,231,003-6,648,719-46,541,033

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