Q: What are the factor combinations of the number 47,553,055?

 A:
Positive:   1 x 475530555 x 951061111 x 432300543 x 110588555 x 864601215 x 221177473 x 1005352365 x 20107
Negative: -1 x -47553055-5 x -9510611-11 x -4323005-43 x -1105885-55 x -864601-215 x -221177-473 x -100535-2365 x -20107


How do I find the factor combinations of the number 47,553,055?

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 47,553,055, 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 47,553,055
-1 -47,553,055

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 47,553,055.

Example:
1 x 47,553,055 = 47,553,055
and
-1 x -47,553,055 = 47,553,055
Notice both answers equal 47,553,055

With that explanation out of the way, let's continue. Next, we take the number 47,553,055 and divide it by 2:

47,553,055 ÷ 2 = 23,776,527.5

If the quotient is a whole number, then 2 and 23,776,527.5 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 47,553,055
-1 -47,553,055

Now, we try dividing 47,553,055 by 3:

47,553,055 ÷ 3 = 15,851,018.3333

If the quotient is a whole number, then 3 and 15,851,018.3333 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 47,553,055
-1 -47,553,055

Let's try dividing by 4:

47,553,055 ÷ 4 = 11,888,263.75

If the quotient is a whole number, then 4 and 11,888,263.75 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 47,553,055
-1 47,553,055
Keep dividing by the next highest number until you cannot divide anymore.

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

151143552154732,36520,107100,535221,177864,6011,105,8854,323,0059,510,61147,553,055
-1-5-11-43-55-215-473-2,365-20,107-100,535-221,177-864,601-1,105,885-4,323,005-9,510,611-47,553,055

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