Q: What are the factor combinations of the number 4,417,655?

 A:
Positive:   1 x 44176555 x 88353111 x 40160531 x 14250555 x 80321155 x 28501341 x 129551705 x 2591
Negative: -1 x -4417655-5 x -883531-11 x -401605-31 x -142505-55 x -80321-155 x -28501-341 x -12955-1705 x -2591


How do I find the factor combinations of the number 4,417,655?

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 4,417,655, 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 4,417,655
-1 -4,417,655

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 4,417,655.

Example:
1 x 4,417,655 = 4,417,655
and
-1 x -4,417,655 = 4,417,655
Notice both answers equal 4,417,655

With that explanation out of the way, let's continue. Next, we take the number 4,417,655 and divide it by 2:

4,417,655 ÷ 2 = 2,208,827.5

If the quotient is a whole number, then 2 and 2,208,827.5 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 4,417,655
-1 -4,417,655

Now, we try dividing 4,417,655 by 3:

4,417,655 ÷ 3 = 1,472,551.6667

If the quotient is a whole number, then 3 and 1,472,551.6667 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 4,417,655
-1 -4,417,655

Let's try dividing by 4:

4,417,655 ÷ 4 = 1,104,413.75

If the quotient is a whole number, then 4 and 1,104,413.75 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 4,417,655
-1 4,417,655
Keep dividing by the next highest number until you cannot divide anymore.

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

151131551553411,7052,59112,95528,50180,321142,505401,605883,5314,417,655
-1-5-11-31-55-155-341-1,705-2,591-12,955-28,501-80,321-142,505-401,605-883,531-4,417,655

More Examples

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