Q: What are the factor combinations of the number 4,480,931?

 A:
Positive:   1 x 44809317 x 64013313 x 34468741 x 10929191 x 49241287 x 15613533 x 84071201 x 3731
Negative: -1 x -4480931-7 x -640133-13 x -344687-41 x -109291-91 x -49241-287 x -15613-533 x -8407-1201 x -3731


How do I find the factor combinations of the number 4,480,931?

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 4,480,931, 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 4,480,931
-1 -4,480,931

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 4,480,931.

Example:
1 x 4,480,931 = 4,480,931
and
-1 x -4,480,931 = 4,480,931
Notice both answers equal 4,480,931

With that explanation out of the way, let's continue. Next, we take the number 4,480,931 and divide it by 2:

4,480,931 ÷ 2 = 2,240,465.5

If the quotient is a whole number, then 2 and 2,240,465.5 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 4,480,931
-1 -4,480,931

Now, we try dividing 4,480,931 by 3:

4,480,931 ÷ 3 = 1,493,643.6667

If the quotient is a whole number, then 3 and 1,493,643.6667 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 4,480,931
-1 -4,480,931

Let's try dividing by 4:

4,480,931 ÷ 4 = 1,120,232.75

If the quotient is a whole number, then 4 and 1,120,232.75 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 4,480,931
-1 4,480,931
Keep dividing by the next highest number until you cannot divide anymore.

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

171341912875331,2013,7318,40715,61349,241109,291344,687640,1334,480,931
-1-7-13-41-91-287-533-1,201-3,731-8,407-15,613-49,241-109,291-344,687-640,133-4,480,931

More Examples

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