Q: What are the factor combinations of the number 60,128,233?

 A:
Positive:   1 x 6012823311 x 546620323 x 261427143 x 1398331253 x 237661473 x 127121989 x 607975527 x 10879
Negative: -1 x -60128233-11 x -5466203-23 x -2614271-43 x -1398331-253 x -237661-473 x -127121-989 x -60797-5527 x -10879


How do I find the factor combinations of the number 60,128,233?

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 60,128,233, 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 60,128,233
-1 -60,128,233

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 60,128,233.

Example:
1 x 60,128,233 = 60,128,233
and
-1 x -60,128,233 = 60,128,233
Notice both answers equal 60,128,233

With that explanation out of the way, let's continue. Next, we take the number 60,128,233 and divide it by 2:

60,128,233 ÷ 2 = 30,064,116.5

If the quotient is a whole number, then 2 and 30,064,116.5 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 60,128,233
-1 -60,128,233

Now, we try dividing 60,128,233 by 3:

60,128,233 ÷ 3 = 20,042,744.3333

If the quotient is a whole number, then 3 and 20,042,744.3333 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 60,128,233
-1 -60,128,233

Let's try dividing by 4:

60,128,233 ÷ 4 = 15,032,058.25

If the quotient is a whole number, then 4 and 15,032,058.25 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 60,128,233
-1 60,128,233
Keep dividing by the next highest number until you cannot divide anymore.

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

11123432534739895,52710,87960,797127,121237,6611,398,3312,614,2715,466,20360,128,233
-1-11-23-43-253-473-989-5,527-10,879-60,797-127,121-237,661-1,398,331-2,614,271-5,466,203-60,128,233

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 60,128,233:


Ask a Question