Q: What are the factor combinations of the number 3,701,827?

 A:
Positive:   1 x 370182719 x 19483323 x 16094943 x 86089197 x 18791437 x 8471817 x 4531989 x 3743
Negative: -1 x -3701827-19 x -194833-23 x -160949-43 x -86089-197 x -18791-437 x -8471-817 x -4531-989 x -3743


How do I find the factor combinations of the number 3,701,827?

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 3,701,827, 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 3,701,827
-1 -3,701,827

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 3,701,827.

Example:
1 x 3,701,827 = 3,701,827
and
-1 x -3,701,827 = 3,701,827
Notice both answers equal 3,701,827

With that explanation out of the way, let's continue. Next, we take the number 3,701,827 and divide it by 2:

3,701,827 ÷ 2 = 1,850,913.5

If the quotient is a whole number, then 2 and 1,850,913.5 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 3,701,827
-1 -3,701,827

Now, we try dividing 3,701,827 by 3:

3,701,827 ÷ 3 = 1,233,942.3333

If the quotient is a whole number, then 3 and 1,233,942.3333 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 3,701,827
-1 -3,701,827

Let's try dividing by 4:

3,701,827 ÷ 4 = 925,456.75

If the quotient is a whole number, then 4 and 925,456.75 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 3,701,827
-1 3,701,827
Keep dividing by the next highest number until you cannot divide anymore.

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

11923431974378179893,7434,5318,47118,79186,089160,949194,8333,701,827
-1-19-23-43-197-437-817-989-3,743-4,531-8,471-18,791-86,089-160,949-194,833-3,701,827

More Examples

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