Q: What are the factor combinations of the number 167,415,235?

 A:
Positive:   1 x 1674152355 x 3348304713 x 1287809517 x 984795565 x 257561985 x 1969591221 x 7575351105 x 151507
Negative: -1 x -167415235-5 x -33483047-13 x -12878095-17 x -9847955-65 x -2575619-85 x -1969591-221 x -757535-1105 x -151507


How do I find the factor combinations of the number 167,415,235?

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 167,415,235, 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.

1 167,415,235
-1 -167,415,235

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 167,415,235.

Example:
1 x 167,415,235 = 167,415,235
and
-1 x -167,415,235 = 167,415,235
Notice both answers equal 167,415,235

With that explanation out of the way, let's continue. Next, we take the number 167,415,235 and divide it by 2:

167,415,235 ÷ 2 = 83,707,617.5

If the quotient is a whole number, then 2 and 83,707,617.5 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:

1 167,415,235
-1 -167,415,235

Now, we try dividing 167,415,235 by 3:

167,415,235 ÷ 3 = 55,805,078.3333

If the quotient is a whole number, then 3 and 55,805,078.3333 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:

1 167,415,235
-1 -167,415,235

Let's try dividing by 4:

167,415,235 ÷ 4 = 41,853,808.75

If the quotient is a whole number, then 4 and 41,853,808.75 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:

1 167,415,235
-1 167,415,235
Keep dividing by the next highest number until you cannot divide anymore.

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

15131765852211,105151,507757,5351,969,5912,575,6199,847,95512,878,09533,483,047167,415,235
-1-5-13-17-65-85-221-1,105-151,507-757,535-1,969,591-2,575,619-9,847,955-12,878,095-33,483,047-167,415,235

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