Q: What are the factor combinations of the number 422,113,105?

 A:
Positive:   1 x 4221131055 x 8442262171 x 5945255355 x 1189051739 x 5711951609 x 2623453695 x 1142398045 x 52469
Negative: -1 x -422113105-5 x -84422621-71 x -5945255-355 x -1189051-739 x -571195-1609 x -262345-3695 x -114239-8045 x -52469


How do I find the factor combinations of the number 422,113,105?

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 422,113,105, 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.

1 422,113,105
-1 -422,113,105

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 422,113,105.

Example:
1 x 422,113,105 = 422,113,105
and
-1 x -422,113,105 = 422,113,105
Notice both answers equal 422,113,105

With that explanation out of the way, let's continue. Next, we take the number 422,113,105 and divide it by 2:

422,113,105 ÷ 2 = 211,056,552.5

If the quotient is a whole number, then 2 and 211,056,552.5 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:

1 422,113,105
-1 -422,113,105

Now, we try dividing 422,113,105 by 3:

422,113,105 ÷ 3 = 140,704,368.3333

If the quotient is a whole number, then 3 and 140,704,368.3333 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:

1 422,113,105
-1 -422,113,105

Let's try dividing by 4:

422,113,105 ÷ 4 = 105,528,276.25

If the quotient is a whole number, then 4 and 105,528,276.25 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:

1 422,113,105
-1 422,113,105
Keep dividing by the next highest number until you cannot divide anymore.

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

15713557391,6093,6958,04552,469114,239262,345571,1951,189,0515,945,25584,422,621422,113,105
-1-5-71-355-739-1,609-3,695-8,045-52,469-114,239-262,345-571,195-1,189,051-5,945,255-84,422,621-422,113,105

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 422,113,105:


Ask a Question