Q: What are the factor combinations of the number 564,462,101?

 A:
Positive:   1 x 5644621017 x 8063744317 x 33203653119 x 4743379131 x 4308871917 x 6155532227 x 25346315589 x 36209
Negative: -1 x -564462101-7 x -80637443-17 x -33203653-119 x -4743379-131 x -4308871-917 x -615553-2227 x -253463-15589 x -36209


How do I find the factor combinations of the number 564,462,101?

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 564,462,101, 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.

1 564,462,101
-1 -564,462,101

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 564,462,101.

Example:
1 x 564,462,101 = 564,462,101
and
-1 x -564,462,101 = 564,462,101
Notice both answers equal 564,462,101

With that explanation out of the way, let's continue. Next, we take the number 564,462,101 and divide it by 2:

564,462,101 ÷ 2 = 282,231,050.5

If the quotient is a whole number, then 2 and 282,231,050.5 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:

1 564,462,101
-1 -564,462,101

Now, we try dividing 564,462,101 by 3:

564,462,101 ÷ 3 = 188,154,033.6667

If the quotient is a whole number, then 3 and 188,154,033.6667 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:

1 564,462,101
-1 -564,462,101

Let's try dividing by 4:

564,462,101 ÷ 4 = 141,115,525.25

If the quotient is a whole number, then 4 and 141,115,525.25 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:

1 564,462,101
-1 564,462,101
Keep dividing by the next highest number until you cannot divide anymore.

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

17171191319172,22715,58936,209253,463615,5534,308,8714,743,37933,203,65380,637,443564,462,101
-1-7-17-119-131-917-2,227-15,589-36,209-253,463-615,553-4,308,871-4,743,379-33,203,653-80,637,443-564,462,101

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