Q: What are the factor combinations of the number 142,322,213?

 A:
Positive:   1 x 14232221311 x 1293838379 x 1801547199 x 715187823 x 172931869 x 1637772189 x 650179053 x 15721
Negative: -1 x -142322213-11 x -12938383-79 x -1801547-199 x -715187-823 x -172931-869 x -163777-2189 x -65017-9053 x -15721


How do I find the factor combinations of the number 142,322,213?

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 142,322,213, 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.

1 142,322,213
-1 -142,322,213

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 142,322,213.

Example:
1 x 142,322,213 = 142,322,213
and
-1 x -142,322,213 = 142,322,213
Notice both answers equal 142,322,213

With that explanation out of the way, let's continue. Next, we take the number 142,322,213 and divide it by 2:

142,322,213 ÷ 2 = 71,161,106.5

If the quotient is a whole number, then 2 and 71,161,106.5 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:

1 142,322,213
-1 -142,322,213

Now, we try dividing 142,322,213 by 3:

142,322,213 ÷ 3 = 47,440,737.6667

If the quotient is a whole number, then 3 and 47,440,737.6667 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:

1 142,322,213
-1 -142,322,213

Let's try dividing by 4:

142,322,213 ÷ 4 = 35,580,553.25

If the quotient is a whole number, then 4 and 35,580,553.25 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:

1 142,322,213
-1 142,322,213
Keep dividing by the next highest number until you cannot divide anymore.

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

111791998238692,1899,05315,72165,017163,777172,931715,1871,801,54712,938,383142,322,213
-1-11-79-199-823-869-2,189-9,053-15,721-65,017-163,777-172,931-715,187-1,801,547-12,938,383-142,322,213

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