Q: What are the factor combinations of the number 6,677,671?

 A:
Positive:   1 x 66776717 x 95395311 x 60706113 x 51366749 x 13627977 x 8672391 x 73381143 x 46697539 x 12389637 x 10483953 x 70071001 x 6671
Negative: -1 x -6677671-7 x -953953-11 x -607061-13 x -513667-49 x -136279-77 x -86723-91 x -73381-143 x -46697-539 x -12389-637 x -10483-953 x -7007-1001 x -6671


How do I find the factor combinations of the number 6,677,671?

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 6,677,671, 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 6,677,671
-1 -6,677,671

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 6,677,671.

Example:
1 x 6,677,671 = 6,677,671
and
-1 x -6,677,671 = 6,677,671
Notice both answers equal 6,677,671

With that explanation out of the way, let's continue. Next, we take the number 6,677,671 and divide it by 2:

6,677,671 ÷ 2 = 3,338,835.5

If the quotient is a whole number, then 2 and 3,338,835.5 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 6,677,671
-1 -6,677,671

Now, we try dividing 6,677,671 by 3:

6,677,671 ÷ 3 = 2,225,890.3333

If the quotient is a whole number, then 3 and 2,225,890.3333 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 6,677,671
-1 -6,677,671

Let's try dividing by 4:

6,677,671 ÷ 4 = 1,669,417.75

If the quotient is a whole number, then 4 and 1,669,417.75 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 6,677,671
-1 6,677,671
Keep dividing by the next highest number until you cannot divide anymore.

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

1711134977911435396379531,0016,6717,00710,48312,38946,69773,38186,723136,279513,667607,061953,9536,677,671
-1-7-11-13-49-77-91-143-539-637-953-1,001-6,671-7,007-10,483-12,389-46,697-73,381-86,723-136,279-513,667-607,061-953,953-6,677,671

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 6,677,671:


Ask a Question