Q: What are the factor combinations of the number 3,710,315?

 A:
Positive:   1 x 37103155 x 7420637 x 53004535 x 106009227 x 16345467 x 79451135 x 32691589 x 2335
Negative: -1 x -3710315-5 x -742063-7 x -530045-35 x -106009-227 x -16345-467 x -7945-1135 x -3269-1589 x -2335


How do I find the factor combinations of the number 3,710,315?

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 3,710,315, 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 3,710,315
-1 -3,710,315

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 3,710,315.

Example:
1 x 3,710,315 = 3,710,315
and
-1 x -3,710,315 = 3,710,315
Notice both answers equal 3,710,315

With that explanation out of the way, let's continue. Next, we take the number 3,710,315 and divide it by 2:

3,710,315 ÷ 2 = 1,855,157.5

If the quotient is a whole number, then 2 and 1,855,157.5 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 3,710,315
-1 -3,710,315

Now, we try dividing 3,710,315 by 3:

3,710,315 ÷ 3 = 1,236,771.6667

If the quotient is a whole number, then 3 and 1,236,771.6667 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 3,710,315
-1 -3,710,315

Let's try dividing by 4:

3,710,315 ÷ 4 = 927,578.75

If the quotient is a whole number, then 4 and 927,578.75 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 3,710,315
-1 3,710,315
Keep dividing by the next highest number until you cannot divide anymore.

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

157352274671,1351,5892,3353,2697,94516,345106,009530,045742,0633,710,315
-1-5-7-35-227-467-1,135-1,589-2,335-3,269-7,945-16,345-106,009-530,045-742,063-3,710,315

More Examples

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