Q: What are the factor combinations of the number 15,374,545?

 A:
Positive:   1 x 153745455 x 307490917 x 90438585 x 180877191 x 80495947 x 16235955 x 160993247 x 4735
Negative: -1 x -15374545-5 x -3074909-17 x -904385-85 x -180877-191 x -80495-947 x -16235-955 x -16099-3247 x -4735


How do I find the factor combinations of the number 15,374,545?

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 15,374,545, 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 15,374,545
-1 -15,374,545

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 15,374,545.

Example:
1 x 15,374,545 = 15,374,545
and
-1 x -15,374,545 = 15,374,545
Notice both answers equal 15,374,545

With that explanation out of the way, let's continue. Next, we take the number 15,374,545 and divide it by 2:

15,374,545 ÷ 2 = 7,687,272.5

If the quotient is a whole number, then 2 and 7,687,272.5 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 15,374,545
-1 -15,374,545

Now, we try dividing 15,374,545 by 3:

15,374,545 ÷ 3 = 5,124,848.3333

If the quotient is a whole number, then 3 and 5,124,848.3333 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 15,374,545
-1 -15,374,545

Let's try dividing by 4:

15,374,545 ÷ 4 = 3,843,636.25

If the quotient is a whole number, then 4 and 3,843,636.25 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 15,374,545
-1 15,374,545
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851919479553,2474,73516,09916,23580,495180,877904,3853,074,90915,374,545
-1-5-17-85-191-947-955-3,247-4,735-16,099-16,235-80,495-180,877-904,385-3,074,909-15,374,545

More Examples

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