Q: What are the factor combinations of the number 741,372,145?

 A:
Positive:   1 x 7413721455 x 14827442937 x 20037085185 x 4007417331 x 22397951655 x 44795912107 x 6123512247 x 60535
Negative: -1 x -741372145-5 x -148274429-37 x -20037085-185 x -4007417-331 x -2239795-1655 x -447959-12107 x -61235-12247 x -60535


How do I find the factor combinations of the number 741,372,145?

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 741,372,145, 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.

1 741,372,145
-1 -741,372,145

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 741,372,145.

Example:
1 x 741,372,145 = 741,372,145
and
-1 x -741,372,145 = 741,372,145
Notice both answers equal 741,372,145

With that explanation out of the way, let's continue. Next, we take the number 741,372,145 and divide it by 2:

741,372,145 ÷ 2 = 370,686,072.5

If the quotient is a whole number, then 2 and 370,686,072.5 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:

1 741,372,145
-1 -741,372,145

Now, we try dividing 741,372,145 by 3:

741,372,145 ÷ 3 = 247,124,048.3333

If the quotient is a whole number, then 3 and 247,124,048.3333 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:

1 741,372,145
-1 -741,372,145

Let's try dividing by 4:

741,372,145 ÷ 4 = 185,343,036.25

If the quotient is a whole number, then 4 and 185,343,036.25 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:

1 741,372,145
-1 741,372,145
Keep dividing by the next highest number until you cannot divide anymore.

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

15371853311,65512,10712,24760,53561,235447,9592,239,7954,007,41720,037,085148,274,429741,372,145
-1-5-37-185-331-1,655-12,107-12,247-60,535-61,235-447,959-2,239,795-4,007,417-20,037,085-148,274,429-741,372,145

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