Q: What are the factor combinations of the number 42,870,113?

 A:
Positive:   1 x 4287011311 x 389728313 x 3297701143 x 299791349 x 122837859 x 499073839 x 111674537 x 9449
Negative: -1 x -42870113-11 x -3897283-13 x -3297701-143 x -299791-349 x -122837-859 x -49907-3839 x -11167-4537 x -9449


How do I find the factor combinations of the number 42,870,113?

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 42,870,113, 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 42,870,113
-1 -42,870,113

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 42,870,113.

Example:
1 x 42,870,113 = 42,870,113
and
-1 x -42,870,113 = 42,870,113
Notice both answers equal 42,870,113

With that explanation out of the way, let's continue. Next, we take the number 42,870,113 and divide it by 2:

42,870,113 ÷ 2 = 21,435,056.5

If the quotient is a whole number, then 2 and 21,435,056.5 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 42,870,113
-1 -42,870,113

Now, we try dividing 42,870,113 by 3:

42,870,113 ÷ 3 = 14,290,037.6667

If the quotient is a whole number, then 3 and 14,290,037.6667 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 42,870,113
-1 -42,870,113

Let's try dividing by 4:

42,870,113 ÷ 4 = 10,717,528.25

If the quotient is a whole number, then 4 and 10,717,528.25 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 42,870,113
-1 42,870,113
Keep dividing by the next highest number until you cannot divide anymore.

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

111131433498593,8394,5379,44911,16749,907122,837299,7913,297,7013,897,28342,870,113
-1-11-13-143-349-859-3,839-4,537-9,449-11,167-49,907-122,837-299,791-3,297,701-3,897,283-42,870,113

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