Q: What are the factor combinations of the number 46,926,955?

 A:
Positive:   1 x 469269555 x 938539173 x 64283583 x 565385365 x 128567415 x 1130771549 x 302956059 x 7745
Negative: -1 x -46926955-5 x -9385391-73 x -642835-83 x -565385-365 x -128567-415 x -113077-1549 x -30295-6059 x -7745


How do I find the factor combinations of the number 46,926,955?

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 46,926,955, 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 46,926,955
-1 -46,926,955

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 46,926,955.

Example:
1 x 46,926,955 = 46,926,955
and
-1 x -46,926,955 = 46,926,955
Notice both answers equal 46,926,955

With that explanation out of the way, let's continue. Next, we take the number 46,926,955 and divide it by 2:

46,926,955 ÷ 2 = 23,463,477.5

If the quotient is a whole number, then 2 and 23,463,477.5 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 46,926,955
-1 -46,926,955

Now, we try dividing 46,926,955 by 3:

46,926,955 ÷ 3 = 15,642,318.3333

If the quotient is a whole number, then 3 and 15,642,318.3333 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 46,926,955
-1 -46,926,955

Let's try dividing by 4:

46,926,955 ÷ 4 = 11,731,738.75

If the quotient is a whole number, then 4 and 11,731,738.75 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 46,926,955
-1 46,926,955
Keep dividing by the next highest number until you cannot divide anymore.

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

1573833654151,5496,0597,74530,295113,077128,567565,385642,8359,385,39146,926,955
-1-5-73-83-365-415-1,549-6,059-7,745-30,295-113,077-128,567-565,385-642,835-9,385,391-46,926,955

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