Q: What are the factor combinations of the number 63,175?

 A:
Positive:   1 x 631755 x 126357 x 902519 x 332525 x 252735 x 180595 x 665133 x 475175 x 361
Negative: -1 x -63175-5 x -12635-7 x -9025-19 x -3325-25 x -2527-35 x -1805-95 x -665-133 x -475-175 x -361


How do I find the factor combinations of the number 63,175?

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 63,175, 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 63,175
-1 -63,175

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 63,175.

Example:
1 x 63,175 = 63,175
and
-1 x -63,175 = 63,175
Notice both answers equal 63,175

With that explanation out of the way, let's continue. Next, we take the number 63,175 and divide it by 2:

63,175 ÷ 2 = 31,587.5

If the quotient is a whole number, then 2 and 31,587.5 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 63,175
-1 -63,175

Now, we try dividing 63,175 by 3:

63,175 ÷ 3 = 21,058.3333

If the quotient is a whole number, then 3 and 21,058.3333 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 63,175
-1 -63,175

Let's try dividing by 4:

63,175 ÷ 4 = 15,793.75

If the quotient is a whole number, then 4 and 15,793.75 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 63,175
-1 63,175
Keep dividing by the next highest number until you cannot divide anymore.

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

157192535951331753614756651,8052,5273,3259,02512,63563,175
-1-5-7-19-25-35-95-133-175-361-475-665-1,805-2,527-3,325-9,025-12,635-63,175

More Examples

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