Q: What are the factor combinations of the number 15,359,357?

 A:
Positive:   1 x 1535935713 x 118148929 x 529633131 x 117247311 x 49387377 x 407411703 x 90193799 x 4043
Negative: -1 x -15359357-13 x -1181489-29 x -529633-131 x -117247-311 x -49387-377 x -40741-1703 x -9019-3799 x -4043


How do I find the factor combinations of the number 15,359,357?

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 15,359,357, 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 15,359,357
-1 -15,359,357

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 15,359,357.

Example:
1 x 15,359,357 = 15,359,357
and
-1 x -15,359,357 = 15,359,357
Notice both answers equal 15,359,357

With that explanation out of the way, let's continue. Next, we take the number 15,359,357 and divide it by 2:

15,359,357 ÷ 2 = 7,679,678.5

If the quotient is a whole number, then 2 and 7,679,678.5 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 15,359,357
-1 -15,359,357

Now, we try dividing 15,359,357 by 3:

15,359,357 ÷ 3 = 5,119,785.6667

If the quotient is a whole number, then 3 and 5,119,785.6667 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 15,359,357
-1 -15,359,357

Let's try dividing by 4:

15,359,357 ÷ 4 = 3,839,839.25

If the quotient is a whole number, then 4 and 3,839,839.25 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 15,359,357
-1 15,359,357
Keep dividing by the next highest number until you cannot divide anymore.

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

113291313113771,7033,7994,0439,01940,74149,387117,247529,6331,181,48915,359,357
-1-13-29-131-311-377-1,703-3,799-4,043-9,019-40,741-49,387-117,247-529,633-1,181,489-15,359,357

More Examples

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