Q: What are the factor combinations of the number 58,870,667?

 A:
Positive:   1 x 5887066729 x 2030023331 x 1778576133 x 9599
Negative: -1 x -58870667-29 x -2030023-331 x -177857-6133 x -9599


How do I find the factor combinations of the number 58,870,667?

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 58,870,667, 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 58,870,667
-1 -58,870,667

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 58,870,667.

Example:
1 x 58,870,667 = 58,870,667
and
-1 x -58,870,667 = 58,870,667
Notice both answers equal 58,870,667

With that explanation out of the way, let's continue. Next, we take the number 58,870,667 and divide it by 2:

58,870,667 ÷ 2 = 29,435,333.5

If the quotient is a whole number, then 2 and 29,435,333.5 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 58,870,667
-1 -58,870,667

Now, we try dividing 58,870,667 by 3:

58,870,667 ÷ 3 = 19,623,555.6667

If the quotient is a whole number, then 3 and 19,623,555.6667 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 58,870,667
-1 -58,870,667

Let's try dividing by 4:

58,870,667 ÷ 4 = 14,717,666.75

If the quotient is a whole number, then 4 and 14,717,666.75 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 58,870,667
-1 58,870,667
Keep dividing by the next highest number until you cannot divide anymore.

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

1293316,1339,599177,8572,030,02358,870,667
-1-29-331-6,133-9,599-177,857-2,030,023-58,870,667

More Examples

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