Q: What are the factor combinations of the number 67,000,703?

 A:
Positive:   1 x 670007037 x 957152911 x 609097331 x 216131377 x 870139217 x 308759341 x 1964832387 x 28069
Negative: -1 x -67000703-7 x -9571529-11 x -6090973-31 x -2161313-77 x -870139-217 x -308759-341 x -196483-2387 x -28069


How do I find the factor combinations of the number 67,000,703?

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 67,000,703, 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 67,000,703
-1 -67,000,703

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 67,000,703.

Example:
1 x 67,000,703 = 67,000,703
and
-1 x -67,000,703 = 67,000,703
Notice both answers equal 67,000,703

With that explanation out of the way, let's continue. Next, we take the number 67,000,703 and divide it by 2:

67,000,703 ÷ 2 = 33,500,351.5

If the quotient is a whole number, then 2 and 33,500,351.5 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 67,000,703
-1 -67,000,703

Now, we try dividing 67,000,703 by 3:

67,000,703 ÷ 3 = 22,333,567.6667

If the quotient is a whole number, then 3 and 22,333,567.6667 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 67,000,703
-1 -67,000,703

Let's try dividing by 4:

67,000,703 ÷ 4 = 16,750,175.75

If the quotient is a whole number, then 4 and 16,750,175.75 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 67,000,703
-1 67,000,703
Keep dividing by the next highest number until you cannot divide anymore.

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

171131772173412,38728,069196,483308,759870,1392,161,3136,090,9739,571,52967,000,703
-1-7-11-31-77-217-341-2,387-28,069-196,483-308,759-870,139-2,161,313-6,090,973-9,571,529-67,000,703

More Examples

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