Q: What are the factor combinations of the number 37,377,475?

 A:
Positive:   1 x 373774755 x 747549517 x 219867525 x 149509931 x 120572585 x 439735155 x 241145425 x 87947527 x 70925775 x 482292635 x 141852837 x 13175
Negative: -1 x -37377475-5 x -7475495-17 x -2198675-25 x -1495099-31 x -1205725-85 x -439735-155 x -241145-425 x -87947-527 x -70925-775 x -48229-2635 x -14185-2837 x -13175


How do I find the factor combinations of the number 37,377,475?

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 37,377,475, 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 37,377,475
-1 -37,377,475

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 37,377,475.

Example:
1 x 37,377,475 = 37,377,475
and
-1 x -37,377,475 = 37,377,475
Notice both answers equal 37,377,475

With that explanation out of the way, let's continue. Next, we take the number 37,377,475 and divide it by 2:

37,377,475 ÷ 2 = 18,688,737.5

If the quotient is a whole number, then 2 and 18,688,737.5 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 37,377,475
-1 -37,377,475

Now, we try dividing 37,377,475 by 3:

37,377,475 ÷ 3 = 12,459,158.3333

If the quotient is a whole number, then 3 and 12,459,158.3333 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 37,377,475
-1 -37,377,475

Let's try dividing by 4:

37,377,475 ÷ 4 = 9,344,368.75

If the quotient is a whole number, then 4 and 9,344,368.75 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 37,377,475
-1 37,377,475
Keep dividing by the next highest number until you cannot divide anymore.

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

15172531851554255277752,6352,83713,17514,18548,22970,92587,947241,145439,7351,205,7251,495,0992,198,6757,475,49537,377,475
-1-5-17-25-31-85-155-425-527-775-2,635-2,837-13,175-14,185-48,229-70,925-87,947-241,145-439,735-1,205,725-1,495,099-2,198,675-7,475,495-37,377,475

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