Q: What are the factor combinations of the number 1,500,037?

 A:
Positive:   1 x 15000377 x 21429111 x 13636723 x 6521949 x 3061377 x 19481121 x 12397161 x 9317253 x 5929539 x 2783847 x 17711127 x 1331
Negative: -1 x -1500037-7 x -214291-11 x -136367-23 x -65219-49 x -30613-77 x -19481-121 x -12397-161 x -9317-253 x -5929-539 x -2783-847 x -1771-1127 x -1331


How do I find the factor combinations of the number 1,500,037?

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 1,500,037, 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 1,500,037
-1 -1,500,037

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 1,500,037.

Example:
1 x 1,500,037 = 1,500,037
and
-1 x -1,500,037 = 1,500,037
Notice both answers equal 1,500,037

With that explanation out of the way, let's continue. Next, we take the number 1,500,037 and divide it by 2:

1,500,037 ÷ 2 = 750,018.5

If the quotient is a whole number, then 2 and 750,018.5 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 1,500,037
-1 -1,500,037

Now, we try dividing 1,500,037 by 3:

1,500,037 ÷ 3 = 500,012.3333

If the quotient is a whole number, then 3 and 500,012.3333 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 1,500,037
-1 -1,500,037

Let's try dividing by 4:

1,500,037 ÷ 4 = 375,009.25

If the quotient is a whole number, then 4 and 375,009.25 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 1,500,037
-1 1,500,037
Keep dividing by the next highest number until you cannot divide anymore.

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

17112349771211612535398471,1271,3311,7712,7835,9299,31712,39719,48130,61365,219136,367214,2911,500,037
-1-7-11-23-49-77-121-161-253-539-847-1,127-1,331-1,771-2,783-5,929-9,317-12,397-19,481-30,613-65,219-136,367-214,291-1,500,037

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