Q: What are the factor combinations of the number 60,037,733?

 A:
Positive:   1 x 600377337 x 8576819101 x 594433707 x 84919
Negative: -1 x -60037733-7 x -8576819-101 x -594433-707 x -84919


How do I find the factor combinations of the number 60,037,733?

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 60,037,733, 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 60,037,733
-1 -60,037,733

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 60,037,733.

Example:
1 x 60,037,733 = 60,037,733
and
-1 x -60,037,733 = 60,037,733
Notice both answers equal 60,037,733

With that explanation out of the way, let's continue. Next, we take the number 60,037,733 and divide it by 2:

60,037,733 ÷ 2 = 30,018,866.5

If the quotient is a whole number, then 2 and 30,018,866.5 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 60,037,733
-1 -60,037,733

Now, we try dividing 60,037,733 by 3:

60,037,733 ÷ 3 = 20,012,577.6667

If the quotient is a whole number, then 3 and 20,012,577.6667 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 60,037,733
-1 -60,037,733

Let's try dividing by 4:

60,037,733 ÷ 4 = 15,009,433.25

If the quotient is a whole number, then 4 and 15,009,433.25 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 60,037,733
-1 60,037,733
Keep dividing by the next highest number until you cannot divide anymore.

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

1710170784,919594,4338,576,81960,037,733
-1-7-101-707-84,919-594,433-8,576,819-60,037,733

More Examples

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