Q: What are the factor combinations of the number 47,322,457?

 A:
Positive:   1 x 473224577 x 676035113 x 364018989 x 53171391 x 520027623 x 759591157 x 409015843 x 8099
Negative: -1 x -47322457-7 x -6760351-13 x -3640189-89 x -531713-91 x -520027-623 x -75959-1157 x -40901-5843 x -8099


How do I find the factor combinations of the number 47,322,457?

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 47,322,457, 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 47,322,457
-1 -47,322,457

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 47,322,457.

Example:
1 x 47,322,457 = 47,322,457
and
-1 x -47,322,457 = 47,322,457
Notice both answers equal 47,322,457

With that explanation out of the way, let's continue. Next, we take the number 47,322,457 and divide it by 2:

47,322,457 ÷ 2 = 23,661,228.5

If the quotient is a whole number, then 2 and 23,661,228.5 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 47,322,457
-1 -47,322,457

Now, we try dividing 47,322,457 by 3:

47,322,457 ÷ 3 = 15,774,152.3333

If the quotient is a whole number, then 3 and 15,774,152.3333 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 47,322,457
-1 -47,322,457

Let's try dividing by 4:

47,322,457 ÷ 4 = 11,830,614.25

If the quotient is a whole number, then 4 and 11,830,614.25 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 47,322,457
-1 47,322,457
Keep dividing by the next highest number until you cannot divide anymore.

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

171389916231,1575,8438,09940,90175,959520,027531,7133,640,1896,760,35147,322,457
-1-7-13-89-91-623-1,157-5,843-8,099-40,901-75,959-520,027-531,713-3,640,189-6,760,351-47,322,457

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