Q: What are the factor combinations of the number 37,376,545?

 A:
Positive:   1 x 373765455 x 747530931 x 1205695155 x 241139293 x 127565823 x 454151465 x 255134115 x 9083
Negative: -1 x -37376545-5 x -7475309-31 x -1205695-155 x -241139-293 x -127565-823 x -45415-1465 x -25513-4115 x -9083


How do I find the factor combinations of the number 37,376,545?

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 37,376,545, 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 37,376,545
-1 -37,376,545

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 37,376,545.

Example:
1 x 37,376,545 = 37,376,545
and
-1 x -37,376,545 = 37,376,545
Notice both answers equal 37,376,545

With that explanation out of the way, let's continue. Next, we take the number 37,376,545 and divide it by 2:

37,376,545 ÷ 2 = 18,688,272.5

If the quotient is a whole number, then 2 and 18,688,272.5 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 37,376,545
-1 -37,376,545

Now, we try dividing 37,376,545 by 3:

37,376,545 ÷ 3 = 12,458,848.3333

If the quotient is a whole number, then 3 and 12,458,848.3333 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 37,376,545
-1 -37,376,545

Let's try dividing by 4:

37,376,545 ÷ 4 = 9,344,136.25

If the quotient is a whole number, then 4 and 9,344,136.25 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 37,376,545
-1 37,376,545
Keep dividing by the next highest number until you cannot divide anymore.

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

15311552938231,4654,1159,08325,51345,415127,565241,1391,205,6957,475,30937,376,545
-1-5-31-155-293-823-1,465-4,115-9,083-25,513-45,415-127,565-241,139-1,205,695-7,475,309-37,376,545

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