Q: What are the factor combinations of the number 4,620,715?

 A:
Positive:   1 x 46207155 x 92414311 x 42006529 x 15933555 x 84013145 x 31867319 x 144851595 x 2897
Negative: -1 x -4620715-5 x -924143-11 x -420065-29 x -159335-55 x -84013-145 x -31867-319 x -14485-1595 x -2897


How do I find the factor combinations of the number 4,620,715?

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 4,620,715, 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 4,620,715
-1 -4,620,715

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 4,620,715.

Example:
1 x 4,620,715 = 4,620,715
and
-1 x -4,620,715 = 4,620,715
Notice both answers equal 4,620,715

With that explanation out of the way, let's continue. Next, we take the number 4,620,715 and divide it by 2:

4,620,715 ÷ 2 = 2,310,357.5

If the quotient is a whole number, then 2 and 2,310,357.5 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 4,620,715
-1 -4,620,715

Now, we try dividing 4,620,715 by 3:

4,620,715 ÷ 3 = 1,540,238.3333

If the quotient is a whole number, then 3 and 1,540,238.3333 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 4,620,715
-1 -4,620,715

Let's try dividing by 4:

4,620,715 ÷ 4 = 1,155,178.75

If the quotient is a whole number, then 4 and 1,155,178.75 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 4,620,715
-1 4,620,715
Keep dividing by the next highest number until you cannot divide anymore.

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

151129551453191,5952,89714,48531,86784,013159,335420,065924,1434,620,715
-1-5-11-29-55-145-319-1,595-2,897-14,485-31,867-84,013-159,335-420,065-924,143-4,620,715

More Examples

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