Q: What are the factor combinations of the number 35,213,855?

 A:
Positive:   1 x 352138555 x 704277159 x 59684579 x 445745295 x 119369395 x 891491511 x 233054661 x 7555
Negative: -1 x -35213855-5 x -7042771-59 x -596845-79 x -445745-295 x -119369-395 x -89149-1511 x -23305-4661 x -7555


How do I find the factor combinations of the number 35,213,855?

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 35,213,855, 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 35,213,855
-1 -35,213,855

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 35,213,855.

Example:
1 x 35,213,855 = 35,213,855
and
-1 x -35,213,855 = 35,213,855
Notice both answers equal 35,213,855

With that explanation out of the way, let's continue. Next, we take the number 35,213,855 and divide it by 2:

35,213,855 ÷ 2 = 17,606,927.5

If the quotient is a whole number, then 2 and 17,606,927.5 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 35,213,855
-1 -35,213,855

Now, we try dividing 35,213,855 by 3:

35,213,855 ÷ 3 = 11,737,951.6667

If the quotient is a whole number, then 3 and 11,737,951.6667 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 35,213,855
-1 -35,213,855

Let's try dividing by 4:

35,213,855 ÷ 4 = 8,803,463.75

If the quotient is a whole number, then 4 and 8,803,463.75 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 35,213,855
-1 35,213,855
Keep dividing by the next highest number until you cannot divide anymore.

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

1559792953951,5114,6617,55523,30589,149119,369445,745596,8457,042,77135,213,855
-1-5-59-79-295-395-1,511-4,661-7,555-23,305-89,149-119,369-445,745-596,845-7,042,771-35,213,855

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 35,213,855:


Ask a Question