Q: What are the factor combinations of the number 60,207,523?

 A:
Positive:   1 x 6020752317 x 354161919 x 316881753 x 1135991323 x 186401901 x 668231007 x 597893517 x 17119
Negative: -1 x -60207523-17 x -3541619-19 x -3168817-53 x -1135991-323 x -186401-901 x -66823-1007 x -59789-3517 x -17119


How do I find the factor combinations of the number 60,207,523?

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 60,207,523, 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 60,207,523
-1 -60,207,523

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 60,207,523.

Example:
1 x 60,207,523 = 60,207,523
and
-1 x -60,207,523 = 60,207,523
Notice both answers equal 60,207,523

With that explanation out of the way, let's continue. Next, we take the number 60,207,523 and divide it by 2:

60,207,523 ÷ 2 = 30,103,761.5

If the quotient is a whole number, then 2 and 30,103,761.5 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 60,207,523
-1 -60,207,523

Now, we try dividing 60,207,523 by 3:

60,207,523 ÷ 3 = 20,069,174.3333

If the quotient is a whole number, then 3 and 20,069,174.3333 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 60,207,523
-1 -60,207,523

Let's try dividing by 4:

60,207,523 ÷ 4 = 15,051,880.75

If the quotient is a whole number, then 4 and 15,051,880.75 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 60,207,523
-1 60,207,523
Keep dividing by the next highest number until you cannot divide anymore.

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

11719533239011,0073,51717,11959,78966,823186,4011,135,9913,168,8173,541,61960,207,523
-1-17-19-53-323-901-1,007-3,517-17,119-59,789-66,823-186,401-1,135,991-3,168,817-3,541,619-60,207,523

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