Q: What are the factor combinations of the number 60,012,637?

 A:
Positive:   1 x 6001263767 x 895711821 x 730971091 x 55007
Negative: -1 x -60012637-67 x -895711-821 x -73097-1091 x -55007


How do I find the factor combinations of the number 60,012,637?

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 60,012,637, 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 60,012,637
-1 -60,012,637

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 60,012,637.

Example:
1 x 60,012,637 = 60,012,637
and
-1 x -60,012,637 = 60,012,637
Notice both answers equal 60,012,637

With that explanation out of the way, let's continue. Next, we take the number 60,012,637 and divide it by 2:

60,012,637 ÷ 2 = 30,006,318.5

If the quotient is a whole number, then 2 and 30,006,318.5 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 60,012,637
-1 -60,012,637

Now, we try dividing 60,012,637 by 3:

60,012,637 ÷ 3 = 20,004,212.3333

If the quotient is a whole number, then 3 and 20,004,212.3333 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 60,012,637
-1 -60,012,637

Let's try dividing by 4:

60,012,637 ÷ 4 = 15,003,159.25

If the quotient is a whole number, then 4 and 15,003,159.25 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 60,012,637
-1 60,012,637
Keep dividing by the next highest number until you cannot divide anymore.

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

1678211,09155,00773,097895,71160,012,637
-1-67-821-1,091-55,007-73,097-895,711-60,012,637

More Examples

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