Q: What are the factor combinations of the number 37,710,145?

 A:
Positive:   1 x 377101455 x 754202911 x 342819555 x 68563959 x 639155295 x 127831649 x 581053245 x 11621
Negative: -1 x -37710145-5 x -7542029-11 x -3428195-55 x -685639-59 x -639155-295 x -127831-649 x -58105-3245 x -11621


How do I find the factor combinations of the number 37,710,145?

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 37,710,145, 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 37,710,145
-1 -37,710,145

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 37,710,145.

Example:
1 x 37,710,145 = 37,710,145
and
-1 x -37,710,145 = 37,710,145
Notice both answers equal 37,710,145

With that explanation out of the way, let's continue. Next, we take the number 37,710,145 and divide it by 2:

37,710,145 ÷ 2 = 18,855,072.5

If the quotient is a whole number, then 2 and 18,855,072.5 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 37,710,145
-1 -37,710,145

Now, we try dividing 37,710,145 by 3:

37,710,145 ÷ 3 = 12,570,048.3333

If the quotient is a whole number, then 3 and 12,570,048.3333 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 37,710,145
-1 -37,710,145

Let's try dividing by 4:

37,710,145 ÷ 4 = 9,427,536.25

If the quotient is a whole number, then 4 and 9,427,536.25 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 37,710,145
-1 37,710,145
Keep dividing by the next highest number until you cannot divide anymore.

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

151155592956493,24511,62158,105127,831639,155685,6393,428,1957,542,02937,710,145
-1-5-11-55-59-295-649-3,245-11,621-58,105-127,831-639,155-685,639-3,428,195-7,542,029-37,710,145

More Examples

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