Q: What are the factor combinations of the number 572,406,667?

 A:
Positive:   1 x 5724066677 x 81772381457 x 12525313199 x 178933
Negative: -1 x -572406667-7 x -81772381-457 x -1252531-3199 x -178933


How do I find the factor combinations of the number 572,406,667?

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 572,406,667, 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.

1 572,406,667
-1 -572,406,667

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 572,406,667.

Example:
1 x 572,406,667 = 572,406,667
and
-1 x -572,406,667 = 572,406,667
Notice both answers equal 572,406,667

With that explanation out of the way, let's continue. Next, we take the number 572,406,667 and divide it by 2:

572,406,667 ÷ 2 = 286,203,333.5

If the quotient is a whole number, then 2 and 286,203,333.5 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:

1 572,406,667
-1 -572,406,667

Now, we try dividing 572,406,667 by 3:

572,406,667 ÷ 3 = 190,802,222.3333

If the quotient is a whole number, then 3 and 190,802,222.3333 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:

1 572,406,667
-1 -572,406,667

Let's try dividing by 4:

572,406,667 ÷ 4 = 143,101,666.75

If the quotient is a whole number, then 4 and 143,101,666.75 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:

1 572,406,667
-1 572,406,667
Keep dividing by the next highest number until you cannot divide anymore.

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

174573,199178,9331,252,53181,772,381572,406,667
-1-7-457-3,199-178,933-1,252,531-81,772,381-572,406,667

More Examples

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