Q: What are the factor combinations of the number 562,614,343?

 A:
Positive:   1 x 56261434367 x 8397229887 x 6342899467 x 59429
Negative: -1 x -562614343-67 x -8397229-887 x -634289-9467 x -59429


How do I find the factor combinations of the number 562,614,343?

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 562,614,343, 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.

1 562,614,343
-1 -562,614,343

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 562,614,343.

Example:
1 x 562,614,343 = 562,614,343
and
-1 x -562,614,343 = 562,614,343
Notice both answers equal 562,614,343

With that explanation out of the way, let's continue. Next, we take the number 562,614,343 and divide it by 2:

562,614,343 ÷ 2 = 281,307,171.5

If the quotient is a whole number, then 2 and 281,307,171.5 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:

1 562,614,343
-1 -562,614,343

Now, we try dividing 562,614,343 by 3:

562,614,343 ÷ 3 = 187,538,114.3333

If the quotient is a whole number, then 3 and 187,538,114.3333 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:

1 562,614,343
-1 -562,614,343

Let's try dividing by 4:

562,614,343 ÷ 4 = 140,653,585.75

If the quotient is a whole number, then 4 and 140,653,585.75 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:

1 562,614,343
-1 562,614,343
Keep dividing by the next highest number until you cannot divide anymore.

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

1678879,46759,429634,2898,397,229562,614,343
-1-67-887-9,467-59,429-634,289-8,397,229-562,614,343

More Examples

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