Q: What are the factor combinations of the number 2,432,435?

 A:
Positive:   1 x 24324355 x 48648753 x 4589567 x 36305137 x 17755265 x 9179335 x 7261685 x 3551
Negative: -1 x -2432435-5 x -486487-53 x -45895-67 x -36305-137 x -17755-265 x -9179-335 x -7261-685 x -3551


How do I find the factor combinations of the number 2,432,435?

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 2,432,435, 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 2,432,435
-1 -2,432,435

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 2,432,435.

Example:
1 x 2,432,435 = 2,432,435
and
-1 x -2,432,435 = 2,432,435
Notice both answers equal 2,432,435

With that explanation out of the way, let's continue. Next, we take the number 2,432,435 and divide it by 2:

2,432,435 ÷ 2 = 1,216,217.5

If the quotient is a whole number, then 2 and 1,216,217.5 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 2,432,435
-1 -2,432,435

Now, we try dividing 2,432,435 by 3:

2,432,435 ÷ 3 = 810,811.6667

If the quotient is a whole number, then 3 and 810,811.6667 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 2,432,435
-1 -2,432,435

Let's try dividing by 4:

2,432,435 ÷ 4 = 608,108.75

If the quotient is a whole number, then 4 and 608,108.75 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 2,432,435
-1 2,432,435
Keep dividing by the next highest number until you cannot divide anymore.

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

1553671372653356853,5517,2619,17917,75536,30545,895486,4872,432,435
-1-5-53-67-137-265-335-685-3,551-7,261-9,179-17,755-36,305-45,895-486,487-2,432,435

More Examples

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