Q: What are the factor combinations of the number 60,076,565?

 A:
Positive:   1 x 600765655 x 12015313463 x 1297552315 x 25951
Negative: -1 x -60076565-5 x -12015313-463 x -129755-2315 x -25951


How do I find the factor combinations of the number 60,076,565?

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 60,076,565, 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 60,076,565
-1 -60,076,565

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 60,076,565.

Example:
1 x 60,076,565 = 60,076,565
and
-1 x -60,076,565 = 60,076,565
Notice both answers equal 60,076,565

With that explanation out of the way, let's continue. Next, we take the number 60,076,565 and divide it by 2:

60,076,565 ÷ 2 = 30,038,282.5

If the quotient is a whole number, then 2 and 30,038,282.5 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 60,076,565
-1 -60,076,565

Now, we try dividing 60,076,565 by 3:

60,076,565 ÷ 3 = 20,025,521.6667

If the quotient is a whole number, then 3 and 20,025,521.6667 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 60,076,565
-1 -60,076,565

Let's try dividing by 4:

60,076,565 ÷ 4 = 15,019,141.25

If the quotient is a whole number, then 4 and 15,019,141.25 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 60,076,565
-1 60,076,565
Keep dividing by the next highest number until you cannot divide anymore.

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

154632,31525,951129,75512,015,31360,076,565
-1-5-463-2,315-25,951-129,755-12,015,313-60,076,565

More Examples

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