Q: What are the factor combinations of the number 60,032,335?

 A:
Positive:   1 x 600323355 x 1200646711 x 545748555 x 109149767 x 896005121 x 496135335 x 179201605 x 99227737 x 814551481 x 405353685 x 162917405 x 8107
Negative: -1 x -60032335-5 x -12006467-11 x -5457485-55 x -1091497-67 x -896005-121 x -496135-335 x -179201-605 x -99227-737 x -81455-1481 x -40535-3685 x -16291-7405 x -8107


How do I find the factor combinations of the number 60,032,335?

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 60,032,335, 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 60,032,335
-1 -60,032,335

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 60,032,335.

Example:
1 x 60,032,335 = 60,032,335
and
-1 x -60,032,335 = 60,032,335
Notice both answers equal 60,032,335

With that explanation out of the way, let's continue. Next, we take the number 60,032,335 and divide it by 2:

60,032,335 ÷ 2 = 30,016,167.5

If the quotient is a whole number, then 2 and 30,016,167.5 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 60,032,335
-1 -60,032,335

Now, we try dividing 60,032,335 by 3:

60,032,335 ÷ 3 = 20,010,778.3333

If the quotient is a whole number, then 3 and 20,010,778.3333 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 60,032,335
-1 -60,032,335

Let's try dividing by 4:

60,032,335 ÷ 4 = 15,008,083.75

If the quotient is a whole number, then 4 and 15,008,083.75 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 60,032,335
-1 60,032,335
Keep dividing by the next highest number until you cannot divide anymore.

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

151155671213356057371,4813,6857,4058,10716,29140,53581,45599,227179,201496,135896,0051,091,4975,457,48512,006,46760,032,335
-1-5-11-55-67-121-335-605-737-1,481-3,685-7,405-8,107-16,291-40,535-81,455-99,227-179,201-496,135-896,005-1,091,497-5,457,485-12,006,467-60,032,335

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