Q: What are the factor combinations of the number 84,501,155?

 A:
Positive:   1 x 845011555 x 1690023137 x 2283815185 x 456763
Negative: -1 x -84501155-5 x -16900231-37 x -2283815-185 x -456763


How do I find the factor combinations of the number 84,501,155?

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 84,501,155, 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 84,501,155
-1 -84,501,155

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 84,501,155.

Example:
1 x 84,501,155 = 84,501,155
and
-1 x -84,501,155 = 84,501,155
Notice both answers equal 84,501,155

With that explanation out of the way, let's continue. Next, we take the number 84,501,155 and divide it by 2:

84,501,155 ÷ 2 = 42,250,577.5

If the quotient is a whole number, then 2 and 42,250,577.5 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 84,501,155
-1 -84,501,155

Now, we try dividing 84,501,155 by 3:

84,501,155 ÷ 3 = 28,167,051.6667

If the quotient is a whole number, then 3 and 28,167,051.6667 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 84,501,155
-1 -84,501,155

Let's try dividing by 4:

84,501,155 ÷ 4 = 21,125,288.75

If the quotient is a whole number, then 4 and 21,125,288.75 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 84,501,155
-1 84,501,155
Keep dividing by the next highest number until you cannot divide anymore.

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

1537185456,7632,283,81516,900,23184,501,155
-1-5-37-185-456,763-2,283,815-16,900,231-84,501,155

More Examples

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