Q: What are the factor combinations of the number 3,641,429?

 A:
Positive:   1 x 364142911 x 33103923 x 15832337 x 98417253 x 14393389 x 9361407 x 8947851 x 4279
Negative: -1 x -3641429-11 x -331039-23 x -158323-37 x -98417-253 x -14393-389 x -9361-407 x -8947-851 x -4279


How do I find the factor combinations of the number 3,641,429?

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 3,641,429, 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 3,641,429
-1 -3,641,429

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 3,641,429.

Example:
1 x 3,641,429 = 3,641,429
and
-1 x -3,641,429 = 3,641,429
Notice both answers equal 3,641,429

With that explanation out of the way, let's continue. Next, we take the number 3,641,429 and divide it by 2:

3,641,429 ÷ 2 = 1,820,714.5

If the quotient is a whole number, then 2 and 1,820,714.5 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 3,641,429
-1 -3,641,429

Now, we try dividing 3,641,429 by 3:

3,641,429 ÷ 3 = 1,213,809.6667

If the quotient is a whole number, then 3 and 1,213,809.6667 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 3,641,429
-1 -3,641,429

Let's try dividing by 4:

3,641,429 ÷ 4 = 910,357.25

If the quotient is a whole number, then 4 and 910,357.25 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 3,641,429
-1 3,641,429
Keep dividing by the next highest number until you cannot divide anymore.

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

11123372533894078514,2798,9479,36114,39398,417158,323331,0393,641,429
-1-11-23-37-253-389-407-851-4,279-8,947-9,361-14,393-98,417-158,323-331,039-3,641,429

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 3,641,429:


Ask a Question