Q: What are the factor combinations of the number 60,495,425?

 A:
Positive:   1 x 604954255 x 1209908525 x 2419817709 x 853253413 x 177253545 x 17065
Negative: -1 x -60495425-5 x -12099085-25 x -2419817-709 x -85325-3413 x -17725-3545 x -17065


How do I find the factor combinations of the number 60,495,425?

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 60,495,425, 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 60,495,425
-1 -60,495,425

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 60,495,425.

Example:
1 x 60,495,425 = 60,495,425
and
-1 x -60,495,425 = 60,495,425
Notice both answers equal 60,495,425

With that explanation out of the way, let's continue. Next, we take the number 60,495,425 and divide it by 2:

60,495,425 ÷ 2 = 30,247,712.5

If the quotient is a whole number, then 2 and 30,247,712.5 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 60,495,425
-1 -60,495,425

Now, we try dividing 60,495,425 by 3:

60,495,425 ÷ 3 = 20,165,141.6667

If the quotient is a whole number, then 3 and 20,165,141.6667 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 60,495,425
-1 -60,495,425

Let's try dividing by 4:

60,495,425 ÷ 4 = 15,123,856.25

If the quotient is a whole number, then 4 and 15,123,856.25 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 60,495,425
-1 60,495,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15257093,4133,54517,06517,72585,3252,419,81712,099,08560,495,425
-1-5-25-709-3,413-3,545-17,065-17,725-85,325-2,419,817-12,099,085-60,495,425

More Examples

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