Q: What are the factor combinations of the number 15,533,455?

 A:
Positive:   1 x 155334555 x 31066917 x 221906535 x 443813347 x 447651279 x 121451735 x 89532429 x 6395
Negative: -1 x -15533455-5 x -3106691-7 x -2219065-35 x -443813-347 x -44765-1279 x -12145-1735 x -8953-2429 x -6395


How do I find the factor combinations of the number 15,533,455?

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 15,533,455, 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 15,533,455
-1 -15,533,455

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 15,533,455.

Example:
1 x 15,533,455 = 15,533,455
and
-1 x -15,533,455 = 15,533,455
Notice both answers equal 15,533,455

With that explanation out of the way, let's continue. Next, we take the number 15,533,455 and divide it by 2:

15,533,455 ÷ 2 = 7,766,727.5

If the quotient is a whole number, then 2 and 7,766,727.5 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 15,533,455
-1 -15,533,455

Now, we try dividing 15,533,455 by 3:

15,533,455 ÷ 3 = 5,177,818.3333

If the quotient is a whole number, then 3 and 5,177,818.3333 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 15,533,455
-1 -15,533,455

Let's try dividing by 4:

15,533,455 ÷ 4 = 3,883,363.75

If the quotient is a whole number, then 4 and 3,883,363.75 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 15,533,455
-1 15,533,455
Keep dividing by the next highest number until you cannot divide anymore.

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

157353471,2791,7352,4296,3958,95312,14544,765443,8132,219,0653,106,69115,533,455
-1-5-7-35-347-1,279-1,735-2,429-6,395-8,953-12,145-44,765-443,813-2,219,065-3,106,691-15,533,455

More Examples

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