Q: What are the factor combinations of the number 67,213,531?

 A:
Positive:   1 x 672135317 x 960193311 x 611032177 x 87290397 x 692923679 x 989891067 x 629937469 x 8999
Negative: -1 x -67213531-7 x -9601933-11 x -6110321-77 x -872903-97 x -692923-679 x -98989-1067 x -62993-7469 x -8999


How do I find the factor combinations of the number 67,213,531?

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 67,213,531, 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 67,213,531
-1 -67,213,531

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 67,213,531.

Example:
1 x 67,213,531 = 67,213,531
and
-1 x -67,213,531 = 67,213,531
Notice both answers equal 67,213,531

With that explanation out of the way, let's continue. Next, we take the number 67,213,531 and divide it by 2:

67,213,531 ÷ 2 = 33,606,765.5

If the quotient is a whole number, then 2 and 33,606,765.5 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 67,213,531
-1 -67,213,531

Now, we try dividing 67,213,531 by 3:

67,213,531 ÷ 3 = 22,404,510.3333

If the quotient is a whole number, then 3 and 22,404,510.3333 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 67,213,531
-1 -67,213,531

Let's try dividing by 4:

67,213,531 ÷ 4 = 16,803,382.75

If the quotient is a whole number, then 4 and 16,803,382.75 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 67,213,531
-1 67,213,531
Keep dividing by the next highest number until you cannot divide anymore.

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

171177976791,0677,4698,99962,99398,989692,923872,9036,110,3219,601,93367,213,531
-1-7-11-77-97-679-1,067-7,469-8,999-62,993-98,989-692,923-872,903-6,110,321-9,601,933-67,213,531

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 67,213,531:


Ask a Question