Q: What are the factor combinations of the number 37,336,675?

 A:
Positive:   1 x 373366755 x 746733517 x 219627525 x 149346759 x 63282585 x 439255295 x 126565425 x 878511003 x 372251475 x 253131489 x 250755015 x 7445
Negative: -1 x -37336675-5 x -7467335-17 x -2196275-25 x -1493467-59 x -632825-85 x -439255-295 x -126565-425 x -87851-1003 x -37225-1475 x -25313-1489 x -25075-5015 x -7445


How do I find the factor combinations of the number 37,336,675?

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 37,336,675, 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 37,336,675
-1 -37,336,675

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 37,336,675.

Example:
1 x 37,336,675 = 37,336,675
and
-1 x -37,336,675 = 37,336,675
Notice both answers equal 37,336,675

With that explanation out of the way, let's continue. Next, we take the number 37,336,675 and divide it by 2:

37,336,675 ÷ 2 = 18,668,337.5

If the quotient is a whole number, then 2 and 18,668,337.5 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 37,336,675
-1 -37,336,675

Now, we try dividing 37,336,675 by 3:

37,336,675 ÷ 3 = 12,445,558.3333

If the quotient is a whole number, then 3 and 12,445,558.3333 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 37,336,675
-1 -37,336,675

Let's try dividing by 4:

37,336,675 ÷ 4 = 9,334,168.75

If the quotient is a whole number, then 4 and 9,334,168.75 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 37,336,675
-1 37,336,675
Keep dividing by the next highest number until you cannot divide anymore.

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

15172559852954251,0031,4751,4895,0157,44525,07525,31337,22587,851126,565439,255632,8251,493,4672,196,2757,467,33537,336,675
-1-5-17-25-59-85-295-425-1,003-1,475-1,489-5,015-7,445-25,075-25,313-37,225-87,851-126,565-439,255-632,825-1,493,467-2,196,275-7,467,335-37,336,675

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