Q: What are the factor combinations of the number 432,300,515?

 A:
Positive:   1 x 4323005155 x 8646010341 x 10543915205 x 2108783307 x 14081451535 x 2816296869 x 6293512587 x 34345
Negative: -1 x -432300515-5 x -86460103-41 x -10543915-205 x -2108783-307 x -1408145-1535 x -281629-6869 x -62935-12587 x -34345


How do I find the factor combinations of the number 432,300,515?

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 432,300,515, 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.

1 432,300,515
-1 -432,300,515

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 432,300,515.

Example:
1 x 432,300,515 = 432,300,515
and
-1 x -432,300,515 = 432,300,515
Notice both answers equal 432,300,515

With that explanation out of the way, let's continue. Next, we take the number 432,300,515 and divide it by 2:

432,300,515 ÷ 2 = 216,150,257.5

If the quotient is a whole number, then 2 and 216,150,257.5 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:

1 432,300,515
-1 -432,300,515

Now, we try dividing 432,300,515 by 3:

432,300,515 ÷ 3 = 144,100,171.6667

If the quotient is a whole number, then 3 and 144,100,171.6667 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:

1 432,300,515
-1 -432,300,515

Let's try dividing by 4:

432,300,515 ÷ 4 = 108,075,128.75

If the quotient is a whole number, then 4 and 108,075,128.75 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:

1 432,300,515
-1 432,300,515
Keep dividing by the next highest number until you cannot divide anymore.

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

15412053071,5356,86912,58734,34562,935281,6291,408,1452,108,78310,543,91586,460,103432,300,515
-1-5-41-205-307-1,535-6,869-12,587-34,345-62,935-281,629-1,408,145-2,108,783-10,543,915-86,460,103-432,300,515

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