Q: What are the factor combinations of the number 167,472,385?

 A:
Positive:   1 x 1674723855 x 3349447731 x 540233559 x 2838515155 x 1080467295 x 5677031829 x 915659145 x 18313
Negative: -1 x -167472385-5 x -33494477-31 x -5402335-59 x -2838515-155 x -1080467-295 x -567703-1829 x -91565-9145 x -18313


How do I find the factor combinations of the number 167,472,385?

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 167,472,385, 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.

1 167,472,385
-1 -167,472,385

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 167,472,385.

Example:
1 x 167,472,385 = 167,472,385
and
-1 x -167,472,385 = 167,472,385
Notice both answers equal 167,472,385

With that explanation out of the way, let's continue. Next, we take the number 167,472,385 and divide it by 2:

167,472,385 ÷ 2 = 83,736,192.5

If the quotient is a whole number, then 2 and 83,736,192.5 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:

1 167,472,385
-1 -167,472,385

Now, we try dividing 167,472,385 by 3:

167,472,385 ÷ 3 = 55,824,128.3333

If the quotient is a whole number, then 3 and 55,824,128.3333 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:

1 167,472,385
-1 -167,472,385

Let's try dividing by 4:

167,472,385 ÷ 4 = 41,868,096.25

If the quotient is a whole number, then 4 and 41,868,096.25 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:

1 167,472,385
-1 167,472,385
Keep dividing by the next highest number until you cannot divide anymore.

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

1531591552951,8299,14518,31391,565567,7031,080,4672,838,5155,402,33533,494,477167,472,385
-1-5-31-59-155-295-1,829-9,145-18,313-91,565-567,703-1,080,467-2,838,515-5,402,335-33,494,477-167,472,385

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