Q: What are the factor combinations of the number 615,074,635?

 A:
Positive:   1 x 6150746355 x 1230149277 x 8786780535 x 175735611303 x 4720456515 x 944099121 x 6743513487 x 45605
Negative: -1 x -615074635-5 x -123014927-7 x -87867805-35 x -17573561-1303 x -472045-6515 x -94409-9121 x -67435-13487 x -45605


How do I find the factor combinations of the number 615,074,635?

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 615,074,635, 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.

1 615,074,635
-1 -615,074,635

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 615,074,635.

Example:
1 x 615,074,635 = 615,074,635
and
-1 x -615,074,635 = 615,074,635
Notice both answers equal 615,074,635

With that explanation out of the way, let's continue. Next, we take the number 615,074,635 and divide it by 2:

615,074,635 ÷ 2 = 307,537,317.5

If the quotient is a whole number, then 2 and 307,537,317.5 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:

1 615,074,635
-1 -615,074,635

Now, we try dividing 615,074,635 by 3:

615,074,635 ÷ 3 = 205,024,878.3333

If the quotient is a whole number, then 3 and 205,024,878.3333 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:

1 615,074,635
-1 -615,074,635

Let's try dividing by 4:

615,074,635 ÷ 4 = 153,768,658.75

If the quotient is a whole number, then 4 and 153,768,658.75 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:

1 615,074,635
-1 615,074,635
Keep dividing by the next highest number until you cannot divide anymore.

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

157351,3036,5159,12113,48745,60567,43594,409472,04517,573,56187,867,805123,014,927615,074,635
-1-5-7-35-1,303-6,515-9,121-13,487-45,605-67,435-94,409-472,045-17,573,561-87,867,805-123,014,927-615,074,635

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