Q: What are the factor combinations of the number 3,724,435?

 A:
Positive:   1 x 37244355 x 74488711 x 33858513 x 28649555 x 6771765 x 57299143 x 26045715 x 5209
Negative: -1 x -3724435-5 x -744887-11 x -338585-13 x -286495-55 x -67717-65 x -57299-143 x -26045-715 x -5209


How do I find the factor combinations of the number 3,724,435?

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 3,724,435, 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 3,724,435
-1 -3,724,435

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 3,724,435.

Example:
1 x 3,724,435 = 3,724,435
and
-1 x -3,724,435 = 3,724,435
Notice both answers equal 3,724,435

With that explanation out of the way, let's continue. Next, we take the number 3,724,435 and divide it by 2:

3,724,435 ÷ 2 = 1,862,217.5

If the quotient is a whole number, then 2 and 1,862,217.5 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 3,724,435
-1 -3,724,435

Now, we try dividing 3,724,435 by 3:

3,724,435 ÷ 3 = 1,241,478.3333

If the quotient is a whole number, then 3 and 1,241,478.3333 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 3,724,435
-1 -3,724,435

Let's try dividing by 4:

3,724,435 ÷ 4 = 931,108.75

If the quotient is a whole number, then 4 and 931,108.75 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 3,724,435
-1 3,724,435
Keep dividing by the next highest number until you cannot divide anymore.

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

15111355651437155,20926,04557,29967,717286,495338,585744,8873,724,435
-1-5-11-13-55-65-143-715-5,209-26,045-57,299-67,717-286,495-338,585-744,887-3,724,435

More Examples

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