Q: What are the factor combinations of the number 71,162,549?

 A:
Positive:   1 x 7116254929 x 245388143 x 1654943149 x 477601383 x 1858031247 x 570674321 x 164696407 x 11107
Negative: -1 x -71162549-29 x -2453881-43 x -1654943-149 x -477601-383 x -185803-1247 x -57067-4321 x -16469-6407 x -11107


How do I find the factor combinations of the number 71,162,549?

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 71,162,549, 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 71,162,549
-1 -71,162,549

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 71,162,549.

Example:
1 x 71,162,549 = 71,162,549
and
-1 x -71,162,549 = 71,162,549
Notice both answers equal 71,162,549

With that explanation out of the way, let's continue. Next, we take the number 71,162,549 and divide it by 2:

71,162,549 ÷ 2 = 35,581,274.5

If the quotient is a whole number, then 2 and 35,581,274.5 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 71,162,549
-1 -71,162,549

Now, we try dividing 71,162,549 by 3:

71,162,549 ÷ 3 = 23,720,849.6667

If the quotient is a whole number, then 3 and 23,720,849.6667 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 71,162,549
-1 -71,162,549

Let's try dividing by 4:

71,162,549 ÷ 4 = 17,790,637.25

If the quotient is a whole number, then 4 and 17,790,637.25 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 71,162,549
-1 71,162,549
Keep dividing by the next highest number until you cannot divide anymore.

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

129431493831,2474,3216,40711,10716,46957,067185,803477,6011,654,9432,453,88171,162,549
-1-29-43-149-383-1,247-4,321-6,407-11,107-16,469-57,067-185,803-477,601-1,654,943-2,453,881-71,162,549

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 71,162,549:


Ask a Question