Q: What are the factor combinations of the number 4,702,445?

 A:
Positive:   1 x 47024455 x 94048911 x 42749555 x 85499193 x 24365443 x 10615965 x 48732123 x 2215
Negative: -1 x -4702445-5 x -940489-11 x -427495-55 x -85499-193 x -24365-443 x -10615-965 x -4873-2123 x -2215


How do I find the factor combinations of the number 4,702,445?

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 4,702,445, 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 4,702,445
-1 -4,702,445

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 4,702,445.

Example:
1 x 4,702,445 = 4,702,445
and
-1 x -4,702,445 = 4,702,445
Notice both answers equal 4,702,445

With that explanation out of the way, let's continue. Next, we take the number 4,702,445 and divide it by 2:

4,702,445 ÷ 2 = 2,351,222.5

If the quotient is a whole number, then 2 and 2,351,222.5 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 4,702,445
-1 -4,702,445

Now, we try dividing 4,702,445 by 3:

4,702,445 ÷ 3 = 1,567,481.6667

If the quotient is a whole number, then 3 and 1,567,481.6667 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 4,702,445
-1 -4,702,445

Let's try dividing by 4:

4,702,445 ÷ 4 = 1,175,611.25

If the quotient is a whole number, then 4 and 1,175,611.25 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 4,702,445
-1 4,702,445
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551934439652,1232,2154,87310,61524,36585,499427,495940,4894,702,445
-1-5-11-55-193-443-965-2,123-2,215-4,873-10,615-24,365-85,499-427,495-940,489-4,702,445

More Examples

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