Q: What are the factor combinations of the number 42,288,665?

 A:
Positive:   1 x 422886655 x 845773371 x 595615139 x 304235355 x 119123695 x 60847857 x 493454285 x 9869
Negative: -1 x -42288665-5 x -8457733-71 x -595615-139 x -304235-355 x -119123-695 x -60847-857 x -49345-4285 x -9869


How do I find the factor combinations of the number 42,288,665?

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 42,288,665, 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 42,288,665
-1 -42,288,665

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 42,288,665.

Example:
1 x 42,288,665 = 42,288,665
and
-1 x -42,288,665 = 42,288,665
Notice both answers equal 42,288,665

With that explanation out of the way, let's continue. Next, we take the number 42,288,665 and divide it by 2:

42,288,665 ÷ 2 = 21,144,332.5

If the quotient is a whole number, then 2 and 21,144,332.5 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 42,288,665
-1 -42,288,665

Now, we try dividing 42,288,665 by 3:

42,288,665 ÷ 3 = 14,096,221.6667

If the quotient is a whole number, then 3 and 14,096,221.6667 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 42,288,665
-1 -42,288,665

Let's try dividing by 4:

42,288,665 ÷ 4 = 10,572,166.25

If the quotient is a whole number, then 4 and 10,572,166.25 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 42,288,665
-1 42,288,665
Keep dividing by the next highest number until you cannot divide anymore.

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

15711393556958574,2859,86949,34560,847119,123304,235595,6158,457,73342,288,665
-1-5-71-139-355-695-857-4,285-9,869-49,345-60,847-119,123-304,235-595,615-8,457,733-42,288,665

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