Q: What are the factor combinations of the number 562,002,211?

 A:
Positive:   1 x 56200221141 x 1370737161 x 92131512501 x 224711
Negative: -1 x -562002211-41 x -13707371-61 x -9213151-2501 x -224711


How do I find the factor combinations of the number 562,002,211?

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 562,002,211, 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.

1 562,002,211
-1 -562,002,211

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 562,002,211.

Example:
1 x 562,002,211 = 562,002,211
and
-1 x -562,002,211 = 562,002,211
Notice both answers equal 562,002,211

With that explanation out of the way, let's continue. Next, we take the number 562,002,211 and divide it by 2:

562,002,211 ÷ 2 = 281,001,105.5

If the quotient is a whole number, then 2 and 281,001,105.5 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:

1 562,002,211
-1 -562,002,211

Now, we try dividing 562,002,211 by 3:

562,002,211 ÷ 3 = 187,334,070.3333

If the quotient is a whole number, then 3 and 187,334,070.3333 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:

1 562,002,211
-1 -562,002,211

Let's try dividing by 4:

562,002,211 ÷ 4 = 140,500,552.75

If the quotient is a whole number, then 4 and 140,500,552.75 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:

1 562,002,211
-1 562,002,211
Keep dividing by the next highest number until you cannot divide anymore.

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

141612,501224,7119,213,15113,707,371562,002,211
-1-41-61-2,501-224,711-9,213,151-13,707,371-562,002,211

More Examples

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