Q: What are the factor combinations of the number 13,480,555?

 A:
Positive:   1 x 134805555 x 269611111 x 122550555 x 245101131 x 102905655 x 205811441 x 93551871 x 7205
Negative: -1 x -13480555-5 x -2696111-11 x -1225505-55 x -245101-131 x -102905-655 x -20581-1441 x -9355-1871 x -7205


How do I find the factor combinations of the number 13,480,555?

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 13,480,555, 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 13,480,555
-1 -13,480,555

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 13,480,555.

Example:
1 x 13,480,555 = 13,480,555
and
-1 x -13,480,555 = 13,480,555
Notice both answers equal 13,480,555

With that explanation out of the way, let's continue. Next, we take the number 13,480,555 and divide it by 2:

13,480,555 ÷ 2 = 6,740,277.5

If the quotient is a whole number, then 2 and 6,740,277.5 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 13,480,555
-1 -13,480,555

Now, we try dividing 13,480,555 by 3:

13,480,555 ÷ 3 = 4,493,518.3333

If the quotient is a whole number, then 3 and 4,493,518.3333 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 13,480,555
-1 -13,480,555

Let's try dividing by 4:

13,480,555 ÷ 4 = 3,370,138.75

If the quotient is a whole number, then 4 and 3,370,138.75 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 13,480,555
-1 13,480,555
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551316551,4411,8717,2059,35520,581102,905245,1011,225,5052,696,11113,480,555
-1-5-11-55-131-655-1,441-1,871-7,205-9,355-20,581-102,905-245,101-1,225,505-2,696,111-13,480,555

More Examples

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