Q: What are the factor combinations of the number 562,120,055?

 A:
Positive:   1 x 5621200555 x 1124240117 x 8030286531 x 1813290535 x 16060573155 x 3626581217 x 25904151085 x 518083
Negative: -1 x -562120055-5 x -112424011-7 x -80302865-31 x -18132905-35 x -16060573-155 x -3626581-217 x -2590415-1085 x -518083


How do I find the factor combinations of the number 562,120,055?

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 562,120,055, 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.

1 562,120,055
-1 -562,120,055

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 562,120,055.

Example:
1 x 562,120,055 = 562,120,055
and
-1 x -562,120,055 = 562,120,055
Notice both answers equal 562,120,055

With that explanation out of the way, let's continue. Next, we take the number 562,120,055 and divide it by 2:

562,120,055 ÷ 2 = 281,060,027.5

If the quotient is a whole number, then 2 and 281,060,027.5 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:

1 562,120,055
-1 -562,120,055

Now, we try dividing 562,120,055 by 3:

562,120,055 ÷ 3 = 187,373,351.6667

If the quotient is a whole number, then 3 and 187,373,351.6667 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:

1 562,120,055
-1 -562,120,055

Let's try dividing by 4:

562,120,055 ÷ 4 = 140,530,013.75

If the quotient is a whole number, then 4 and 140,530,013.75 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:

1 562,120,055
-1 562,120,055
Keep dividing by the next highest number until you cannot divide anymore.

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

15731351552171,085518,0832,590,4153,626,58116,060,57318,132,90580,302,865112,424,011562,120,055
-1-5-7-31-35-155-217-1,085-518,083-2,590,415-3,626,581-16,060,573-18,132,905-80,302,865-112,424,011-562,120,055

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