Q: What are the factor combinations of the number 36,745,225?

 A:
Positive:   1 x 367452255 x 734904511 x 334047525 x 146980941 x 89622555 x 668095205 x 179245275 x 133619451 x 814751025 x 358492255 x 162953259 x 11275
Negative: -1 x -36745225-5 x -7349045-11 x -3340475-25 x -1469809-41 x -896225-55 x -668095-205 x -179245-275 x -133619-451 x -81475-1025 x -35849-2255 x -16295-3259 x -11275


How do I find the factor combinations of the number 36,745,225?

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 36,745,225, 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 36,745,225
-1 -36,745,225

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 36,745,225.

Example:
1 x 36,745,225 = 36,745,225
and
-1 x -36,745,225 = 36,745,225
Notice both answers equal 36,745,225

With that explanation out of the way, let's continue. Next, we take the number 36,745,225 and divide it by 2:

36,745,225 ÷ 2 = 18,372,612.5

If the quotient is a whole number, then 2 and 18,372,612.5 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 36,745,225
-1 -36,745,225

Now, we try dividing 36,745,225 by 3:

36,745,225 ÷ 3 = 12,248,408.3333

If the quotient is a whole number, then 3 and 12,248,408.3333 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 36,745,225
-1 -36,745,225

Let's try dividing by 4:

36,745,225 ÷ 4 = 9,186,306.25

If the quotient is a whole number, then 4 and 9,186,306.25 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 36,745,225
-1 36,745,225
Keep dividing by the next highest number until you cannot divide anymore.

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

15112541552052754511,0252,2553,25911,27516,29535,84981,475133,619179,245668,095896,2251,469,8093,340,4757,349,04536,745,225
-1-5-11-25-41-55-205-275-451-1,025-2,255-3,259-11,275-16,295-35,849-81,475-133,619-179,245-668,095-896,225-1,469,809-3,340,475-7,349,045-36,745,225

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