Q: What are the factor combinations of the number 216,424,003?

 A:
Positive:   1 x 21642400319 x 1139073767 x 3230209197 x 1098599863 x 2507811273 x 1700113743 x 5782113199 x 16397
Negative: -1 x -216424003-19 x -11390737-67 x -3230209-197 x -1098599-863 x -250781-1273 x -170011-3743 x -57821-13199 x -16397


How do I find the factor combinations of the number 216,424,003?

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 216,424,003, 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.

1 216,424,003
-1 -216,424,003

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 216,424,003.

Example:
1 x 216,424,003 = 216,424,003
and
-1 x -216,424,003 = 216,424,003
Notice both answers equal 216,424,003

With that explanation out of the way, let's continue. Next, we take the number 216,424,003 and divide it by 2:

216,424,003 ÷ 2 = 108,212,001.5

If the quotient is a whole number, then 2 and 108,212,001.5 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:

1 216,424,003
-1 -216,424,003

Now, we try dividing 216,424,003 by 3:

216,424,003 ÷ 3 = 72,141,334.3333

If the quotient is a whole number, then 3 and 72,141,334.3333 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:

1 216,424,003
-1 -216,424,003

Let's try dividing by 4:

216,424,003 ÷ 4 = 54,106,000.75

If the quotient is a whole number, then 4 and 54,106,000.75 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:

1 216,424,003
-1 216,424,003
Keep dividing by the next highest number until you cannot divide anymore.

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

119671978631,2733,74313,19916,39757,821170,011250,7811,098,5993,230,20911,390,737216,424,003
-1-19-67-197-863-1,273-3,743-13,199-16,397-57,821-170,011-250,781-1,098,599-3,230,209-11,390,737-216,424,003

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