Q: What are the factor combinations of the number 37,477,625?

 A:
Positive:   1 x 374776255 x 749552525 x 149910553 x 707125125 x 299821265 x 1414251325 x 282855657 x 6625
Negative: -1 x -37477625-5 x -7495525-25 x -1499105-53 x -707125-125 x -299821-265 x -141425-1325 x -28285-5657 x -6625


How do I find the factor combinations of the number 37,477,625?

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 37,477,625, 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 37,477,625
-1 -37,477,625

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 37,477,625.

Example:
1 x 37,477,625 = 37,477,625
and
-1 x -37,477,625 = 37,477,625
Notice both answers equal 37,477,625

With that explanation out of the way, let's continue. Next, we take the number 37,477,625 and divide it by 2:

37,477,625 ÷ 2 = 18,738,812.5

If the quotient is a whole number, then 2 and 18,738,812.5 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 37,477,625
-1 -37,477,625

Now, we try dividing 37,477,625 by 3:

37,477,625 ÷ 3 = 12,492,541.6667

If the quotient is a whole number, then 3 and 12,492,541.6667 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 37,477,625
-1 -37,477,625

Let's try dividing by 4:

37,477,625 ÷ 4 = 9,369,406.25

If the quotient is a whole number, then 4 and 9,369,406.25 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 37,477,625
-1 37,477,625
Keep dividing by the next highest number until you cannot divide anymore.

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

1525531252651,3255,6576,62528,285141,425299,821707,1251,499,1057,495,52537,477,625
-1-5-25-53-125-265-1,325-5,657-6,625-28,285-141,425-299,821-707,125-1,499,105-7,495,525-37,477,625

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