Q: What are the factor combinations of the number 171,073,747?

 A:
Positive:   1 x 17107374713 x 1315951923 x 7437989299 x 572153367 x 4661411559 x 1097334771 x 358578441 x 20267
Negative: -1 x -171073747-13 x -13159519-23 x -7437989-299 x -572153-367 x -466141-1559 x -109733-4771 x -35857-8441 x -20267


How do I find the factor combinations of the number 171,073,747?

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 171,073,747, 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.

1 171,073,747
-1 -171,073,747

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 171,073,747.

Example:
1 x 171,073,747 = 171,073,747
and
-1 x -171,073,747 = 171,073,747
Notice both answers equal 171,073,747

With that explanation out of the way, let's continue. Next, we take the number 171,073,747 and divide it by 2:

171,073,747 ÷ 2 = 85,536,873.5

If the quotient is a whole number, then 2 and 85,536,873.5 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:

1 171,073,747
-1 -171,073,747

Now, we try dividing 171,073,747 by 3:

171,073,747 ÷ 3 = 57,024,582.3333

If the quotient is a whole number, then 3 and 57,024,582.3333 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:

1 171,073,747
-1 -171,073,747

Let's try dividing by 4:

171,073,747 ÷ 4 = 42,768,436.75

If the quotient is a whole number, then 4 and 42,768,436.75 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:

1 171,073,747
-1 171,073,747
Keep dividing by the next highest number until you cannot divide anymore.

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

113232993671,5594,7718,44120,26735,857109,733466,141572,1537,437,98913,159,519171,073,747
-1-13-23-299-367-1,559-4,771-8,441-20,267-35,857-109,733-466,141-572,153-7,437,989-13,159,519-171,073,747

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 171,073,747:


Ask a Question