Q: What are the factor combinations of the number 4,565,743?

 A:
Positive:   1 x 45657437 x 65224913 x 35121191 x 50173131 x 34853383 x 11921917 x 49791703 x 2681
Negative: -1 x -4565743-7 x -652249-13 x -351211-91 x -50173-131 x -34853-383 x -11921-917 x -4979-1703 x -2681


How do I find the factor combinations of the number 4,565,743?

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 4,565,743, 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 4,565,743
-1 -4,565,743

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 4,565,743.

Example:
1 x 4,565,743 = 4,565,743
and
-1 x -4,565,743 = 4,565,743
Notice both answers equal 4,565,743

With that explanation out of the way, let's continue. Next, we take the number 4,565,743 and divide it by 2:

4,565,743 ÷ 2 = 2,282,871.5

If the quotient is a whole number, then 2 and 2,282,871.5 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 4,565,743
-1 -4,565,743

Now, we try dividing 4,565,743 by 3:

4,565,743 ÷ 3 = 1,521,914.3333

If the quotient is a whole number, then 3 and 1,521,914.3333 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 4,565,743
-1 -4,565,743

Let's try dividing by 4:

4,565,743 ÷ 4 = 1,141,435.75

If the quotient is a whole number, then 4 and 1,141,435.75 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 4,565,743
-1 4,565,743
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911313839171,7032,6814,97911,92134,85350,173351,211652,2494,565,743
-1-7-13-91-131-383-917-1,703-2,681-4,979-11,921-34,853-50,173-351,211-652,249-4,565,743

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 4,565,743:


Ask a Question