Q: What are the factor combinations of the number 5,240,143?

 A:
Positive:   1 x 524014319 x 275797193 x 271511429 x 3667
Negative: -1 x -5240143-19 x -275797-193 x -27151-1429 x -3667


How do I find the factor combinations of the number 5,240,143?

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 5,240,143, 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 5,240,143
-1 -5,240,143

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 5,240,143.

Example:
1 x 5,240,143 = 5,240,143
and
-1 x -5,240,143 = 5,240,143
Notice both answers equal 5,240,143

With that explanation out of the way, let's continue. Next, we take the number 5,240,143 and divide it by 2:

5,240,143 ÷ 2 = 2,620,071.5

If the quotient is a whole number, then 2 and 2,620,071.5 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 5,240,143
-1 -5,240,143

Now, we try dividing 5,240,143 by 3:

5,240,143 ÷ 3 = 1,746,714.3333

If the quotient is a whole number, then 3 and 1,746,714.3333 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 5,240,143
-1 -5,240,143

Let's try dividing by 4:

5,240,143 ÷ 4 = 1,310,035.75

If the quotient is a whole number, then 4 and 1,310,035.75 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 5,240,143
-1 5,240,143
Keep dividing by the next highest number until you cannot divide anymore.

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

1191931,4293,66727,151275,7975,240,143
-1-19-193-1,429-3,667-27,151-275,797-5,240,143

More Examples

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