Q: What are the factor combinations of the number 60,720,023?

 A:
Positive:   1 x 607200237 x 867428913 x 467077123 x 264000167 x 90626991 x 667253161 x 377143299 x 203077433 x 140231469 x 129467871 x 697131541 x 394032093 x 290113031 x 200335629 x 107876097 x 9959
Negative: -1 x -60720023-7 x -8674289-13 x -4670771-23 x -2640001-67 x -906269-91 x -667253-161 x -377143-299 x -203077-433 x -140231-469 x -129467-871 x -69713-1541 x -39403-2093 x -29011-3031 x -20033-5629 x -10787-6097 x -9959


How do I find the factor combinations of the number 60,720,023?

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 60,720,023, 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 60,720,023
-1 -60,720,023

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 60,720,023.

Example:
1 x 60,720,023 = 60,720,023
and
-1 x -60,720,023 = 60,720,023
Notice both answers equal 60,720,023

With that explanation out of the way, let's continue. Next, we take the number 60,720,023 and divide it by 2:

60,720,023 ÷ 2 = 30,360,011.5

If the quotient is a whole number, then 2 and 30,360,011.5 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 60,720,023
-1 -60,720,023

Now, we try dividing 60,720,023 by 3:

60,720,023 ÷ 3 = 20,240,007.6667

If the quotient is a whole number, then 3 and 20,240,007.6667 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 60,720,023
-1 -60,720,023

Let's try dividing by 4:

60,720,023 ÷ 4 = 15,180,005.75

If the quotient is a whole number, then 4 and 15,180,005.75 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 60,720,023
-1 60,720,023
Keep dividing by the next highest number until you cannot divide anymore.

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

17132367911612994334698711,5412,0933,0315,6296,0979,95910,78720,03329,01139,40369,713129,467140,231203,077377,143667,253906,2692,640,0014,670,7718,674,28960,720,023
-1-7-13-23-67-91-161-299-433-469-871-1,541-2,093-3,031-5,629-6,097-9,959-10,787-20,033-29,011-39,403-69,713-129,467-140,231-203,077-377,143-667,253-906,269-2,640,001-4,670,771-8,674,289-60,720,023

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