Q: What are the factor combinations of the number 4,508,713?

 A:
Positive:   1 x 450871311 x 40988323 x 19603171 x 63503251 x 17963253 x 17821781 x 57731633 x 2761
Negative: -1 x -4508713-11 x -409883-23 x -196031-71 x -63503-251 x -17963-253 x -17821-781 x -5773-1633 x -2761


How do I find the factor combinations of the number 4,508,713?

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 4,508,713, 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 4,508,713
-1 -4,508,713

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 4,508,713.

Example:
1 x 4,508,713 = 4,508,713
and
-1 x -4,508,713 = 4,508,713
Notice both answers equal 4,508,713

With that explanation out of the way, let's continue. Next, we take the number 4,508,713 and divide it by 2:

4,508,713 ÷ 2 = 2,254,356.5

If the quotient is a whole number, then 2 and 2,254,356.5 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 4,508,713
-1 -4,508,713

Now, we try dividing 4,508,713 by 3:

4,508,713 ÷ 3 = 1,502,904.3333

If the quotient is a whole number, then 3 and 1,502,904.3333 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 4,508,713
-1 -4,508,713

Let's try dividing by 4:

4,508,713 ÷ 4 = 1,127,178.25

If the quotient is a whole number, then 4 and 1,127,178.25 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 4,508,713
-1 4,508,713
Keep dividing by the next highest number until you cannot divide anymore.

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

11123712512537811,6332,7615,77317,82117,96363,503196,031409,8834,508,713
-1-11-23-71-251-253-781-1,633-2,761-5,773-17,821-17,963-63,503-196,031-409,883-4,508,713

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 4,508,713:


Ask a Question