Q: What are the factor combinations of the number 60,422,807?

 A:
Positive:   1 x 6042280741 x 1473727883 x 684291669 x 36203
Negative: -1 x -60422807-41 x -1473727-883 x -68429-1669 x -36203


How do I find the factor combinations of the number 60,422,807?

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 60,422,807, 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 60,422,807
-1 -60,422,807

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 60,422,807.

Example:
1 x 60,422,807 = 60,422,807
and
-1 x -60,422,807 = 60,422,807
Notice both answers equal 60,422,807

With that explanation out of the way, let's continue. Next, we take the number 60,422,807 and divide it by 2:

60,422,807 ÷ 2 = 30,211,403.5

If the quotient is a whole number, then 2 and 30,211,403.5 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 60,422,807
-1 -60,422,807

Now, we try dividing 60,422,807 by 3:

60,422,807 ÷ 3 = 20,140,935.6667

If the quotient is a whole number, then 3 and 20,140,935.6667 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 60,422,807
-1 -60,422,807

Let's try dividing by 4:

60,422,807 ÷ 4 = 15,105,701.75

If the quotient is a whole number, then 4 and 15,105,701.75 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 60,422,807
-1 60,422,807
Keep dividing by the next highest number until you cannot divide anymore.

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

1418831,66936,20368,4291,473,72760,422,807
-1-41-883-1,669-36,203-68,429-1,473,727-60,422,807

More Examples

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