Q: What are the factor combinations of the number 58,436,479?

 A:
Positive:   1 x 5843647929 x 201505171 x 823049101 x 578579281 x 2079592059 x 283812929 x 199517171 x 8149
Negative: -1 x -58436479-29 x -2015051-71 x -823049-101 x -578579-281 x -207959-2059 x -28381-2929 x -19951-7171 x -8149


How do I find the factor combinations of the number 58,436,479?

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 58,436,479, 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 58,436,479
-1 -58,436,479

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 58,436,479.

Example:
1 x 58,436,479 = 58,436,479
and
-1 x -58,436,479 = 58,436,479
Notice both answers equal 58,436,479

With that explanation out of the way, let's continue. Next, we take the number 58,436,479 and divide it by 2:

58,436,479 ÷ 2 = 29,218,239.5

If the quotient is a whole number, then 2 and 29,218,239.5 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 58,436,479
-1 -58,436,479

Now, we try dividing 58,436,479 by 3:

58,436,479 ÷ 3 = 19,478,826.3333

If the quotient is a whole number, then 3 and 19,478,826.3333 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 58,436,479
-1 -58,436,479

Let's try dividing by 4:

58,436,479 ÷ 4 = 14,609,119.75

If the quotient is a whole number, then 4 and 14,609,119.75 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 58,436,479
-1 58,436,479
Keep dividing by the next highest number until you cannot divide anymore.

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

129711012812,0592,9297,1718,14919,95128,381207,959578,579823,0492,015,05158,436,479
-1-29-71-101-281-2,059-2,929-7,171-8,149-19,951-28,381-207,959-578,579-823,049-2,015,051-58,436,479

More Examples

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