Q: What are the factor combinations of the number 42,200,059?

 A:
Positive:   1 x 4220005911 x 383636973 x 578083803 x 52553
Negative: -1 x -42200059-11 x -3836369-73 x -578083-803 x -52553


How do I find the factor combinations of the number 42,200,059?

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 42,200,059, 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 42,200,059
-1 -42,200,059

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 42,200,059.

Example:
1 x 42,200,059 = 42,200,059
and
-1 x -42,200,059 = 42,200,059
Notice both answers equal 42,200,059

With that explanation out of the way, let's continue. Next, we take the number 42,200,059 and divide it by 2:

42,200,059 ÷ 2 = 21,100,029.5

If the quotient is a whole number, then 2 and 21,100,029.5 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 42,200,059
-1 -42,200,059

Now, we try dividing 42,200,059 by 3:

42,200,059 ÷ 3 = 14,066,686.3333

If the quotient is a whole number, then 3 and 14,066,686.3333 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 42,200,059
-1 -42,200,059

Let's try dividing by 4:

42,200,059 ÷ 4 = 10,550,014.75

If the quotient is a whole number, then 4 and 10,550,014.75 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 42,200,059
-1 42,200,059
Keep dividing by the next highest number until you cannot divide anymore.

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

1117380352,553578,0833,836,36942,200,059
-1-11-73-803-52,553-578,083-3,836,369-42,200,059

More Examples

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