Q: What are the factor combinations of the number 60,635,243?

 A:
Positive:   1 x 6063524317 x 3566779863 x 702614133 x 14671
Negative: -1 x -60635243-17 x -3566779-863 x -70261-4133 x -14671


How do I find the factor combinations of the number 60,635,243?

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 60,635,243, 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 60,635,243
-1 -60,635,243

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 60,635,243.

Example:
1 x 60,635,243 = 60,635,243
and
-1 x -60,635,243 = 60,635,243
Notice both answers equal 60,635,243

With that explanation out of the way, let's continue. Next, we take the number 60,635,243 and divide it by 2:

60,635,243 ÷ 2 = 30,317,621.5

If the quotient is a whole number, then 2 and 30,317,621.5 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 60,635,243
-1 -60,635,243

Now, we try dividing 60,635,243 by 3:

60,635,243 ÷ 3 = 20,211,747.6667

If the quotient is a whole number, then 3 and 20,211,747.6667 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 60,635,243
-1 -60,635,243

Let's try dividing by 4:

60,635,243 ÷ 4 = 15,158,810.75

If the quotient is a whole number, then 4 and 15,158,810.75 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 60,635,243
-1 60,635,243
Keep dividing by the next highest number until you cannot divide anymore.

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

1178634,13314,67170,2613,566,77960,635,243
-1-17-863-4,133-14,671-70,261-3,566,779-60,635,243

More Examples

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