Q: What are the factor combinations of the number 60,363,019?

 A:
Positive:   1 x 6036301919 x 3177001467 x 1292576803 x 8873
Negative: -1 x -60363019-19 x -3177001-467 x -129257-6803 x -8873


How do I find the factor combinations of the number 60,363,019?

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 60,363,019, 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 60,363,019
-1 -60,363,019

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 60,363,019.

Example:
1 x 60,363,019 = 60,363,019
and
-1 x -60,363,019 = 60,363,019
Notice both answers equal 60,363,019

With that explanation out of the way, let's continue. Next, we take the number 60,363,019 and divide it by 2:

60,363,019 ÷ 2 = 30,181,509.5

If the quotient is a whole number, then 2 and 30,181,509.5 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 60,363,019
-1 -60,363,019

Now, we try dividing 60,363,019 by 3:

60,363,019 ÷ 3 = 20,121,006.3333

If the quotient is a whole number, then 3 and 20,121,006.3333 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 60,363,019
-1 -60,363,019

Let's try dividing by 4:

60,363,019 ÷ 4 = 15,090,754.75

If the quotient is a whole number, then 4 and 15,090,754.75 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 60,363,019
-1 60,363,019
Keep dividing by the next highest number until you cannot divide anymore.

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

1194676,8038,873129,2573,177,00160,363,019
-1-19-467-6,803-8,873-129,257-3,177,001-60,363,019

More Examples

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