Q: What are the factor combinations of the number 671,671?

 A:
Positive:   1 x 6716717 x 9595311 x 6106113 x 5166761 x 1101177 x 872391 x 7381121 x 5551143 x 4697427 x 1573671 x 1001793 x 847
Negative: -1 x -671671-7 x -95953-11 x -61061-13 x -51667-61 x -11011-77 x -8723-91 x -7381-121 x -5551-143 x -4697-427 x -1573-671 x -1001-793 x -847


How do I find the factor combinations of the number 671,671?

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 671,671, 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.

1 671,671
-1 -671,671

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 671,671.

Example:
1 x 671,671 = 671,671
and
-1 x -671,671 = 671,671
Notice both answers equal 671,671

With that explanation out of the way, let's continue. Next, we take the number 671,671 and divide it by 2:

671,671 ÷ 2 = 335,835.5

If the quotient is a whole number, then 2 and 335,835.5 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:

1 671,671
-1 -671,671

Now, we try dividing 671,671 by 3:

671,671 ÷ 3 = 223,890.3333

If the quotient is a whole number, then 3 and 223,890.3333 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:

1 671,671
-1 -671,671

Let's try dividing by 4:

671,671 ÷ 4 = 167,917.75

If the quotient is a whole number, then 4 and 167,917.75 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:

1 671,671
-1 671,671
Keep dividing by the next highest number until you cannot divide anymore.

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

1711136177911211434276717938471,0011,5734,6975,5517,3818,72311,01151,66761,06195,953671,671
-1-7-11-13-61-77-91-121-143-427-671-793-847-1,001-1,573-4,697-5,551-7,381-8,723-11,011-51,667-61,061-95,953-671,671

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 671,671:


Ask a Question