Q: What are the factor combinations of the number 501,700,667?

 A:
Positive:   1 x 50170066713 x 3859235929 x 17300023169 x 2968643377 x 13307714901 x 102367
Negative: -1 x -501700667-13 x -38592359-29 x -17300023-169 x -2968643-377 x -1330771-4901 x -102367


How do I find the factor combinations of the number 501,700,667?

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 501,700,667, 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.

1 501,700,667
-1 -501,700,667

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 501,700,667.

Example:
1 x 501,700,667 = 501,700,667
and
-1 x -501,700,667 = 501,700,667
Notice both answers equal 501,700,667

With that explanation out of the way, let's continue. Next, we take the number 501,700,667 and divide it by 2:

501,700,667 ÷ 2 = 250,850,333.5

If the quotient is a whole number, then 2 and 250,850,333.5 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:

1 501,700,667
-1 -501,700,667

Now, we try dividing 501,700,667 by 3:

501,700,667 ÷ 3 = 167,233,555.6667

If the quotient is a whole number, then 3 and 167,233,555.6667 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:

1 501,700,667
-1 -501,700,667

Let's try dividing by 4:

501,700,667 ÷ 4 = 125,425,166.75

If the quotient is a whole number, then 4 and 125,425,166.75 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:

1 501,700,667
-1 501,700,667
Keep dividing by the next highest number until you cannot divide anymore.

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

113291693774,901102,3671,330,7712,968,64317,300,02338,592,359501,700,667
-1-13-29-169-377-4,901-102,367-1,330,771-2,968,643-17,300,023-38,592,359-501,700,667

More Examples

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