Q: What are the factor combinations of the number 4,501,315?

 A:
Positive:   1 x 45013155 x 9002637 x 64304513 x 34625535 x 12860965 x 6925191 x 49465169 x 26635455 x 9893761 x 5915845 x 53271183 x 3805
Negative: -1 x -4501315-5 x -900263-7 x -643045-13 x -346255-35 x -128609-65 x -69251-91 x -49465-169 x -26635-455 x -9893-761 x -5915-845 x -5327-1183 x -3805


How do I find the factor combinations of the number 4,501,315?

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 4,501,315, 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 4,501,315
-1 -4,501,315

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 4,501,315.

Example:
1 x 4,501,315 = 4,501,315
and
-1 x -4,501,315 = 4,501,315
Notice both answers equal 4,501,315

With that explanation out of the way, let's continue. Next, we take the number 4,501,315 and divide it by 2:

4,501,315 ÷ 2 = 2,250,657.5

If the quotient is a whole number, then 2 and 2,250,657.5 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 4,501,315
-1 -4,501,315

Now, we try dividing 4,501,315 by 3:

4,501,315 ÷ 3 = 1,500,438.3333

If the quotient is a whole number, then 3 and 1,500,438.3333 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 4,501,315
-1 -4,501,315

Let's try dividing by 4:

4,501,315 ÷ 4 = 1,125,328.75

If the quotient is a whole number, then 4 and 1,125,328.75 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 4,501,315
-1 4,501,315
Keep dividing by the next highest number until you cannot divide anymore.

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

157133565911694557618451,1833,8055,3275,9159,89326,63549,46569,251128,609346,255643,045900,2634,501,315
-1-5-7-13-35-65-91-169-455-761-845-1,183-3,805-5,327-5,915-9,893-26,635-49,465-69,251-128,609-346,255-643,045-900,263-4,501,315

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