Q: What are the factor combinations of the number 745,878,005?

 A:
Positive:   1 x 7458780055 x 14917560137 x 20158865137 x 5444365185 x 4031773685 x 10888735069 x 14714525345 x 29429
Negative: -1 x -745878005-5 x -149175601-37 x -20158865-137 x -5444365-185 x -4031773-685 x -1088873-5069 x -147145-25345 x -29429


How do I find the factor combinations of the number 745,878,005?

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 745,878,005, 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.

1 745,878,005
-1 -745,878,005

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 745,878,005.

Example:
1 x 745,878,005 = 745,878,005
and
-1 x -745,878,005 = 745,878,005
Notice both answers equal 745,878,005

With that explanation out of the way, let's continue. Next, we take the number 745,878,005 and divide it by 2:

745,878,005 ÷ 2 = 372,939,002.5

If the quotient is a whole number, then 2 and 372,939,002.5 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:

1 745,878,005
-1 -745,878,005

Now, we try dividing 745,878,005 by 3:

745,878,005 ÷ 3 = 248,626,001.6667

If the quotient is a whole number, then 3 and 248,626,001.6667 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:

1 745,878,005
-1 -745,878,005

Let's try dividing by 4:

745,878,005 ÷ 4 = 186,469,501.25

If the quotient is a whole number, then 4 and 186,469,501.25 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:

1 745,878,005
-1 745,878,005
Keep dividing by the next highest number until you cannot divide anymore.

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

15371371856855,06925,34529,429147,1451,088,8734,031,7735,444,36520,158,865149,175,601745,878,005
-1-5-37-137-185-685-5,069-25,345-29,429-147,145-1,088,873-4,031,773-5,444,365-20,158,865-149,175,601-745,878,005

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