Q: What are the factor combinations of the number 670,335,201?

 A:
Positive:   1 x 6703352013 x 2234450679 x 7448168967 x 10005003201 x 3335001603 x 1111667
Negative: -1 x -670335201-3 x -223445067-9 x -74481689-67 x -10005003-201 x -3335001-603 x -1111667


How do I find the factor combinations of the number 670,335,201?

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 670,335,201, 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.

1 670,335,201
-1 -670,335,201

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 670,335,201.

Example:
1 x 670,335,201 = 670,335,201
and
-1 x -670,335,201 = 670,335,201
Notice both answers equal 670,335,201

With that explanation out of the way, let's continue. Next, we take the number 670,335,201 and divide it by 2:

670,335,201 ÷ 2 = 335,167,600.5

If the quotient is a whole number, then 2 and 335,167,600.5 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:

1 670,335,201
-1 -670,335,201

Now, we try dividing 670,335,201 by 3:

670,335,201 ÷ 3 = 223,445,067

If the quotient is a whole number, then 3 and 223,445,067 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 3 223,445,067 670,335,201
-1 -3 -223,445,067 -670,335,201

Let's try dividing by 4:

670,335,201 ÷ 4 = 167,583,800.25

If the quotient is a whole number, then 4 and 167,583,800.25 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 3 223,445,067 670,335,201
-1 -3 -223,445,067 670,335,201
Keep dividing by the next highest number until you cannot divide anymore.

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

139672016031,111,6673,335,00110,005,00374,481,689223,445,067670,335,201
-1-3-9-67-201-603-1,111,667-3,335,001-10,005,003-74,481,689-223,445,067-670,335,201

More Examples

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