Q: What are the factor combinations of the number 670,003,711?

 A:
Positive:   1 x 67000371113 x 5153874717 x 39411983169 x 3964519221 x 30316912197 x 3049632873 x 23320717939 x 37349
Negative: -1 x -670003711-13 x -51538747-17 x -39411983-169 x -3964519-221 x -3031691-2197 x -304963-2873 x -233207-17939 x -37349


How do I find the factor combinations of the number 670,003,711?

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 670,003,711, 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.

1 670,003,711
-1 -670,003,711

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 670,003,711.

Example:
1 x 670,003,711 = 670,003,711
and
-1 x -670,003,711 = 670,003,711
Notice both answers equal 670,003,711

With that explanation out of the way, let's continue. Next, we take the number 670,003,711 and divide it by 2:

670,003,711 ÷ 2 = 335,001,855.5

If the quotient is a whole number, then 2 and 335,001,855.5 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:

1 670,003,711
-1 -670,003,711

Now, we try dividing 670,003,711 by 3:

670,003,711 ÷ 3 = 223,334,570.3333

If the quotient is a whole number, then 3 and 223,334,570.3333 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:

1 670,003,711
-1 -670,003,711

Let's try dividing by 4:

670,003,711 ÷ 4 = 167,500,927.75

If the quotient is a whole number, then 4 and 167,500,927.75 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:

1 670,003,711
-1 670,003,711
Keep dividing by the next highest number until you cannot divide anymore.

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

113171692212,1972,87317,93937,349233,207304,9633,031,6913,964,51939,411,98351,538,747670,003,711
-1-13-17-169-221-2,197-2,873-17,939-37,349-233,207-304,963-3,031,691-3,964,519-39,411,983-51,538,747-670,003,711

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