Q: What are the factor combinations of the number 2,496,739?

 A:
Positive:   1 x 24967397 x 35667717 x 146867119 x 20981
Negative: -1 x -2496739-7 x -356677-17 x -146867-119 x -20981


How do I find the factor combinations of the number 2,496,739?

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 2,496,739, 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 2,496,739
-1 -2,496,739

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 2,496,739.

Example:
1 x 2,496,739 = 2,496,739
and
-1 x -2,496,739 = 2,496,739
Notice both answers equal 2,496,739

With that explanation out of the way, let's continue. Next, we take the number 2,496,739 and divide it by 2:

2,496,739 ÷ 2 = 1,248,369.5

If the quotient is a whole number, then 2 and 1,248,369.5 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 2,496,739
-1 -2,496,739

Now, we try dividing 2,496,739 by 3:

2,496,739 ÷ 3 = 832,246.3333

If the quotient is a whole number, then 3 and 832,246.3333 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 2,496,739
-1 -2,496,739

Let's try dividing by 4:

2,496,739 ÷ 4 = 624,184.75

If the quotient is a whole number, then 4 and 624,184.75 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 2,496,739
-1 2,496,739
Keep dividing by the next highest number until you cannot divide anymore.

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

171711920,981146,867356,6772,496,739
-1-7-17-119-20,981-146,867-356,677-2,496,739

More Examples

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