Q: What are the factor combinations of the number 4,567,717?

 A:
Positive:   1 x 45677177 x 65253111 x 41524777 x 59321137 x 33341433 x 10549959 x 47631507 x 3031
Negative: -1 x -4567717-7 x -652531-11 x -415247-77 x -59321-137 x -33341-433 x -10549-959 x -4763-1507 x -3031


How do I find the factor combinations of the number 4,567,717?

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 4,567,717, 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 4,567,717
-1 -4,567,717

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 4,567,717.

Example:
1 x 4,567,717 = 4,567,717
and
-1 x -4,567,717 = 4,567,717
Notice both answers equal 4,567,717

With that explanation out of the way, let's continue. Next, we take the number 4,567,717 and divide it by 2:

4,567,717 ÷ 2 = 2,283,858.5

If the quotient is a whole number, then 2 and 2,283,858.5 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 4,567,717
-1 -4,567,717

Now, we try dividing 4,567,717 by 3:

4,567,717 ÷ 3 = 1,522,572.3333

If the quotient is a whole number, then 3 and 1,522,572.3333 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 4,567,717
-1 -4,567,717

Let's try dividing by 4:

4,567,717 ÷ 4 = 1,141,929.25

If the quotient is a whole number, then 4 and 1,141,929.25 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 4,567,717
-1 4,567,717
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771374339591,5073,0314,76310,54933,34159,321415,247652,5314,567,717
-1-7-11-77-137-433-959-1,507-3,031-4,763-10,549-33,341-59,321-415,247-652,531-4,567,717

More Examples

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