Q: What are the factor combinations of the number 370,475?

 A:
Positive:   1 x 3704755 x 740957 x 5292525 x 1481929 x 1277535 x 1058573 x 5075145 x 2555175 x 2117203 x 1825365 x 1015511 x 725
Negative: -1 x -370475-5 x -74095-7 x -52925-25 x -14819-29 x -12775-35 x -10585-73 x -5075-145 x -2555-175 x -2117-203 x -1825-365 x -1015-511 x -725


How do I find the factor combinations of the number 370,475?

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 370,475, 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.

1 370,475
-1 -370,475

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 370,475.

Example:
1 x 370,475 = 370,475
and
-1 x -370,475 = 370,475
Notice both answers equal 370,475

With that explanation out of the way, let's continue. Next, we take the number 370,475 and divide it by 2:

370,475 ÷ 2 = 185,237.5

If the quotient is a whole number, then 2 and 185,237.5 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:

1 370,475
-1 -370,475

Now, we try dividing 370,475 by 3:

370,475 ÷ 3 = 123,491.6667

If the quotient is a whole number, then 3 and 123,491.6667 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:

1 370,475
-1 -370,475

Let's try dividing by 4:

370,475 ÷ 4 = 92,618.75

If the quotient is a whole number, then 4 and 92,618.75 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:

1 370,475
-1 370,475
Keep dividing by the next highest number until you cannot divide anymore.

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

157252935731451752033655117251,0151,8252,1172,5555,07510,58512,77514,81952,92574,095370,475
-1-5-7-25-29-35-73-145-175-203-365-511-725-1,015-1,825-2,117-2,555-5,075-10,585-12,775-14,819-52,925-74,095-370,475

More Examples

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