Q: What are the factor combinations of the number 37,679,845?

 A:
Positive:   1 x 376798455 x 75359697 x 538283529 x 129930535 x 1076567145 x 259861203 x 1856151015 x 37123
Negative: -1 x -37679845-5 x -7535969-7 x -5382835-29 x -1299305-35 x -1076567-145 x -259861-203 x -185615-1015 x -37123


How do I find the factor combinations of the number 37,679,845?

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 37,679,845, 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 37,679,845
-1 -37,679,845

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 37,679,845.

Example:
1 x 37,679,845 = 37,679,845
and
-1 x -37,679,845 = 37,679,845
Notice both answers equal 37,679,845

With that explanation out of the way, let's continue. Next, we take the number 37,679,845 and divide it by 2:

37,679,845 ÷ 2 = 18,839,922.5

If the quotient is a whole number, then 2 and 18,839,922.5 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 37,679,845
-1 -37,679,845

Now, we try dividing 37,679,845 by 3:

37,679,845 ÷ 3 = 12,559,948.3333

If the quotient is a whole number, then 3 and 12,559,948.3333 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 37,679,845
-1 -37,679,845

Let's try dividing by 4:

37,679,845 ÷ 4 = 9,419,961.25

If the quotient is a whole number, then 4 and 9,419,961.25 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 37,679,845
-1 37,679,845
Keep dividing by the next highest number until you cannot divide anymore.

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

15729351452031,01537,123185,615259,8611,076,5671,299,3055,382,8357,535,96937,679,845
-1-5-7-29-35-145-203-1,015-37,123-185,615-259,861-1,076,567-1,299,305-5,382,835-7,535,969-37,679,845

More Examples

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