Q: What are the factor combinations of the number 15,443,435?

 A:
Positive:   1 x 154434355 x 30886877 x 220620535 x 441241163 x 94745815 x 189491141 x 135352707 x 5705
Negative: -1 x -15443435-5 x -3088687-7 x -2206205-35 x -441241-163 x -94745-815 x -18949-1141 x -13535-2707 x -5705


How do I find the factor combinations of the number 15,443,435?

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 15,443,435, 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 15,443,435
-1 -15,443,435

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 15,443,435.

Example:
1 x 15,443,435 = 15,443,435
and
-1 x -15,443,435 = 15,443,435
Notice both answers equal 15,443,435

With that explanation out of the way, let's continue. Next, we take the number 15,443,435 and divide it by 2:

15,443,435 ÷ 2 = 7,721,717.5

If the quotient is a whole number, then 2 and 7,721,717.5 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 15,443,435
-1 -15,443,435

Now, we try dividing 15,443,435 by 3:

15,443,435 ÷ 3 = 5,147,811.6667

If the quotient is a whole number, then 3 and 5,147,811.6667 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 15,443,435
-1 -15,443,435

Let's try dividing by 4:

15,443,435 ÷ 4 = 3,860,858.75

If the quotient is a whole number, then 4 and 3,860,858.75 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 15,443,435
-1 15,443,435
Keep dividing by the next highest number until you cannot divide anymore.

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

157351638151,1412,7075,70513,53518,94994,745441,2412,206,2053,088,68715,443,435
-1-5-7-35-163-815-1,141-2,707-5,705-13,535-18,949-94,745-441,241-2,206,205-3,088,687-15,443,435

More Examples

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