Q: What are the factor combinations of the number 60,386,057?

 A:
Positive:   1 x 6038605717 x 3552121281 x 2148974777 x 12641
Negative: -1 x -60386057-17 x -3552121-281 x -214897-4777 x -12641


How do I find the factor combinations of the number 60,386,057?

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 60,386,057, 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 60,386,057
-1 -60,386,057

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 60,386,057.

Example:
1 x 60,386,057 = 60,386,057
and
-1 x -60,386,057 = 60,386,057
Notice both answers equal 60,386,057

With that explanation out of the way, let's continue. Next, we take the number 60,386,057 and divide it by 2:

60,386,057 ÷ 2 = 30,193,028.5

If the quotient is a whole number, then 2 and 30,193,028.5 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 60,386,057
-1 -60,386,057

Now, we try dividing 60,386,057 by 3:

60,386,057 ÷ 3 = 20,128,685.6667

If the quotient is a whole number, then 3 and 20,128,685.6667 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 60,386,057
-1 -60,386,057

Let's try dividing by 4:

60,386,057 ÷ 4 = 15,096,514.25

If the quotient is a whole number, then 4 and 15,096,514.25 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 60,386,057
-1 60,386,057
Keep dividing by the next highest number until you cannot divide anymore.

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

1172814,77712,641214,8973,552,12160,386,057
-1-17-281-4,777-12,641-214,897-3,552,121-60,386,057

More Examples

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