Q: What are the factor combinations of the number 6,312,155?

 A:
Positive:   1 x 63121555 x 126243141 x 153955205 x 30791751 x 84051681 x 3755
Negative: -1 x -6312155-5 x -1262431-41 x -153955-205 x -30791-751 x -8405-1681 x -3755


How do I find the factor combinations of the number 6,312,155?

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 6,312,155, 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 6,312,155
-1 -6,312,155

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 6,312,155.

Example:
1 x 6,312,155 = 6,312,155
and
-1 x -6,312,155 = 6,312,155
Notice both answers equal 6,312,155

With that explanation out of the way, let's continue. Next, we take the number 6,312,155 and divide it by 2:

6,312,155 ÷ 2 = 3,156,077.5

If the quotient is a whole number, then 2 and 3,156,077.5 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 6,312,155
-1 -6,312,155

Now, we try dividing 6,312,155 by 3:

6,312,155 ÷ 3 = 2,104,051.6667

If the quotient is a whole number, then 3 and 2,104,051.6667 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 6,312,155
-1 -6,312,155

Let's try dividing by 4:

6,312,155 ÷ 4 = 1,578,038.75

If the quotient is a whole number, then 4 and 1,578,038.75 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 6,312,155
-1 6,312,155
Keep dividing by the next highest number until you cannot divide anymore.

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

15412057511,6813,7558,40530,791153,9551,262,4316,312,155
-1-5-41-205-751-1,681-3,755-8,405-30,791-153,955-1,262,431-6,312,155

More Examples

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