Q: What are the factor combinations of the number 1,479,731?

 A:
Positive:   1 x 147973111 x 13452117 x 8704341 x 36091187 x 7913193 x 7667451 x 3281697 x 2123
Negative: -1 x -1479731-11 x -134521-17 x -87043-41 x -36091-187 x -7913-193 x -7667-451 x -3281-697 x -2123


How do I find the factor combinations of the number 1,479,731?

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 1,479,731, 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 1,479,731
-1 -1,479,731

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 1,479,731.

Example:
1 x 1,479,731 = 1,479,731
and
-1 x -1,479,731 = 1,479,731
Notice both answers equal 1,479,731

With that explanation out of the way, let's continue. Next, we take the number 1,479,731 and divide it by 2:

1,479,731 ÷ 2 = 739,865.5

If the quotient is a whole number, then 2 and 739,865.5 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 1,479,731
-1 -1,479,731

Now, we try dividing 1,479,731 by 3:

1,479,731 ÷ 3 = 493,243.6667

If the quotient is a whole number, then 3 and 493,243.6667 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 1,479,731
-1 -1,479,731

Let's try dividing by 4:

1,479,731 ÷ 4 = 369,932.75

If the quotient is a whole number, then 4 and 369,932.75 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 1,479,731
-1 1,479,731
Keep dividing by the next highest number until you cannot divide anymore.

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

11117411871934516972,1233,2817,6677,91336,09187,043134,5211,479,731
-1-11-17-41-187-193-451-697-2,123-3,281-7,667-7,913-36,091-87,043-134,521-1,479,731

More Examples

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