Q: What are the factor combinations of the number 13,462,555?

 A:
Positive:   1 x 134625555 x 269251117 x 79191541 x 32835585 x 158383205 x 65671697 x 193153485 x 3863
Negative: -1 x -13462555-5 x -2692511-17 x -791915-41 x -328355-85 x -158383-205 x -65671-697 x -19315-3485 x -3863


How do I find the factor combinations of the number 13,462,555?

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 13,462,555, 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 13,462,555
-1 -13,462,555

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 13,462,555.

Example:
1 x 13,462,555 = 13,462,555
and
-1 x -13,462,555 = 13,462,555
Notice both answers equal 13,462,555

With that explanation out of the way, let's continue. Next, we take the number 13,462,555 and divide it by 2:

13,462,555 ÷ 2 = 6,731,277.5

If the quotient is a whole number, then 2 and 6,731,277.5 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 13,462,555
-1 -13,462,555

Now, we try dividing 13,462,555 by 3:

13,462,555 ÷ 3 = 4,487,518.3333

If the quotient is a whole number, then 3 and 4,487,518.3333 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 13,462,555
-1 -13,462,555

Let's try dividing by 4:

13,462,555 ÷ 4 = 3,365,638.75

If the quotient is a whole number, then 4 and 3,365,638.75 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 13,462,555
-1 13,462,555
Keep dividing by the next highest number until you cannot divide anymore.

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

151741852056973,4853,86319,31565,671158,383328,355791,9152,692,51113,462,555
-1-5-17-41-85-205-697-3,485-3,863-19,315-65,671-158,383-328,355-791,915-2,692,511-13,462,555

More Examples

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