Q: What are the factor combinations of the number 42,134,213?

 A:
Positive:   1 x 4213421311 x 383038373 x 577181137 x 307549383 x 110011803 x 524711507 x 279594213 x 10001
Negative: -1 x -42134213-11 x -3830383-73 x -577181-137 x -307549-383 x -110011-803 x -52471-1507 x -27959-4213 x -10001


How do I find the factor combinations of the number 42,134,213?

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 42,134,213, 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 42,134,213
-1 -42,134,213

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 42,134,213.

Example:
1 x 42,134,213 = 42,134,213
and
-1 x -42,134,213 = 42,134,213
Notice both answers equal 42,134,213

With that explanation out of the way, let's continue. Next, we take the number 42,134,213 and divide it by 2:

42,134,213 ÷ 2 = 21,067,106.5

If the quotient is a whole number, then 2 and 21,067,106.5 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 42,134,213
-1 -42,134,213

Now, we try dividing 42,134,213 by 3:

42,134,213 ÷ 3 = 14,044,737.6667

If the quotient is a whole number, then 3 and 14,044,737.6667 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 42,134,213
-1 -42,134,213

Let's try dividing by 4:

42,134,213 ÷ 4 = 10,533,553.25

If the quotient is a whole number, then 4 and 10,533,553.25 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 42,134,213
-1 42,134,213
Keep dividing by the next highest number until you cannot divide anymore.

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

111731373838031,5074,21310,00127,95952,471110,011307,549577,1813,830,38342,134,213
-1-11-73-137-383-803-1,507-4,213-10,001-27,959-52,471-110,011-307,549-577,181-3,830,383-42,134,213

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 42,134,213:


Ask a Question