Q: What are the factor combinations of the number 3,704,995?

 A:
Positive:   1 x 37049955 x 7409997 x 52928535 x 10585737 x 100135185 x 20027259 x 143051295 x 2861
Negative: -1 x -3704995-5 x -740999-7 x -529285-35 x -105857-37 x -100135-185 x -20027-259 x -14305-1295 x -2861


How do I find the factor combinations of the number 3,704,995?

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 3,704,995, 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 3,704,995
-1 -3,704,995

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 3,704,995.

Example:
1 x 3,704,995 = 3,704,995
and
-1 x -3,704,995 = 3,704,995
Notice both answers equal 3,704,995

With that explanation out of the way, let's continue. Next, we take the number 3,704,995 and divide it by 2:

3,704,995 ÷ 2 = 1,852,497.5

If the quotient is a whole number, then 2 and 1,852,497.5 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 3,704,995
-1 -3,704,995

Now, we try dividing 3,704,995 by 3:

3,704,995 ÷ 3 = 1,234,998.3333

If the quotient is a whole number, then 3 and 1,234,998.3333 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 3,704,995
-1 -3,704,995

Let's try dividing by 4:

3,704,995 ÷ 4 = 926,248.75

If the quotient is a whole number, then 4 and 926,248.75 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 3,704,995
-1 3,704,995
Keep dividing by the next highest number until you cannot divide anymore.

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

15735371852591,2952,86114,30520,027100,135105,857529,285740,9993,704,995
-1-5-7-35-37-185-259-1,295-2,861-14,305-20,027-100,135-105,857-529,285-740,999-3,704,995

More Examples

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