Q: What are the factor combinations of the number 370,175?

 A:
Positive:   1 x 3701755 x 7403513 x 2847517 x 2177525 x 1480765 x 569567 x 552585 x 4355221 x 1675325 x 1139335 x 1105425 x 871
Negative: -1 x -370175-5 x -74035-13 x -28475-17 x -21775-25 x -14807-65 x -5695-67 x -5525-85 x -4355-221 x -1675-325 x -1139-335 x -1105-425 x -871


How do I find the factor combinations of the number 370,175?

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 370,175, 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.

1 370,175
-1 -370,175

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 370,175.

Example:
1 x 370,175 = 370,175
and
-1 x -370,175 = 370,175
Notice both answers equal 370,175

With that explanation out of the way, let's continue. Next, we take the number 370,175 and divide it by 2:

370,175 ÷ 2 = 185,087.5

If the quotient is a whole number, then 2 and 185,087.5 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:

1 370,175
-1 -370,175

Now, we try dividing 370,175 by 3:

370,175 ÷ 3 = 123,391.6667

If the quotient is a whole number, then 3 and 123,391.6667 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:

1 370,175
-1 -370,175

Let's try dividing by 4:

370,175 ÷ 4 = 92,543.75

If the quotient is a whole number, then 4 and 92,543.75 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:

1 370,175
-1 370,175
Keep dividing by the next highest number until you cannot divide anymore.

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

151317256567852213253354258711,1051,1391,6754,3555,5255,69514,80721,77528,47574,035370,175
-1-5-13-17-25-65-67-85-221-325-335-425-871-1,105-1,139-1,675-4,355-5,525-5,695-14,807-21,775-28,475-74,035-370,175

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 370,175:


Ask a Question