Q: What are the factor combinations of the number 731,766,139?

 A:
Positive:   1 x 73176613913 x 5628970317 x 43045067221 x 3311159751 x 9743894409 x 1659719763 x 7495312767 x 57317
Negative: -1 x -731766139-13 x -56289703-17 x -43045067-221 x -3311159-751 x -974389-4409 x -165971-9763 x -74953-12767 x -57317


How do I find the factor combinations of the number 731,766,139?

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 731,766,139, 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.

1 731,766,139
-1 -731,766,139

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 731,766,139.

Example:
1 x 731,766,139 = 731,766,139
and
-1 x -731,766,139 = 731,766,139
Notice both answers equal 731,766,139

With that explanation out of the way, let's continue. Next, we take the number 731,766,139 and divide it by 2:

731,766,139 ÷ 2 = 365,883,069.5

If the quotient is a whole number, then 2 and 365,883,069.5 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:

1 731,766,139
-1 -731,766,139

Now, we try dividing 731,766,139 by 3:

731,766,139 ÷ 3 = 243,922,046.3333

If the quotient is a whole number, then 3 and 243,922,046.3333 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:

1 731,766,139
-1 -731,766,139

Let's try dividing by 4:

731,766,139 ÷ 4 = 182,941,534.75

If the quotient is a whole number, then 4 and 182,941,534.75 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:

1 731,766,139
-1 731,766,139
Keep dividing by the next highest number until you cannot divide anymore.

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

113172217514,4099,76312,76757,31774,953165,971974,3893,311,15943,045,06756,289,703731,766,139
-1-13-17-221-751-4,409-9,763-12,767-57,317-74,953-165,971-974,389-3,311,159-43,045,067-56,289,703-731,766,139

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 731,766,139:


Ask a Question