Q: What are the factor combinations of the number 15,513,445?

 A:
Positive:   1 x 155134455 x 31026891627 x 95351907 x 8135
Negative: -1 x -15513445-5 x -3102689-1627 x -9535-1907 x -8135


How do I find the factor combinations of the number 15,513,445?

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 15,513,445, 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 15,513,445
-1 -15,513,445

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 15,513,445.

Example:
1 x 15,513,445 = 15,513,445
and
-1 x -15,513,445 = 15,513,445
Notice both answers equal 15,513,445

With that explanation out of the way, let's continue. Next, we take the number 15,513,445 and divide it by 2:

15,513,445 ÷ 2 = 7,756,722.5

If the quotient is a whole number, then 2 and 7,756,722.5 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 15,513,445
-1 -15,513,445

Now, we try dividing 15,513,445 by 3:

15,513,445 ÷ 3 = 5,171,148.3333

If the quotient is a whole number, then 3 and 5,171,148.3333 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 15,513,445
-1 -15,513,445

Let's try dividing by 4:

15,513,445 ÷ 4 = 3,878,361.25

If the quotient is a whole number, then 4 and 3,878,361.25 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 15,513,445
-1 15,513,445
Keep dividing by the next highest number until you cannot divide anymore.

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

151,6271,9078,1359,5353,102,68915,513,445
-1-5-1,627-1,907-8,135-9,535-3,102,689-15,513,445

More Examples

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