Q: What are the factor combinations of the number 167,420,227?

 A:
Positive:   1 x 16742022713 x 1287847937 x 4524871131 x 1278017481 x 3480671703 x 983092657 x 630114847 x 34541
Negative: -1 x -167420227-13 x -12878479-37 x -4524871-131 x -1278017-481 x -348067-1703 x -98309-2657 x -63011-4847 x -34541


How do I find the factor combinations of the number 167,420,227?

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 167,420,227, 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.

1 167,420,227
-1 -167,420,227

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 167,420,227.

Example:
1 x 167,420,227 = 167,420,227
and
-1 x -167,420,227 = 167,420,227
Notice both answers equal 167,420,227

With that explanation out of the way, let's continue. Next, we take the number 167,420,227 and divide it by 2:

167,420,227 ÷ 2 = 83,710,113.5

If the quotient is a whole number, then 2 and 83,710,113.5 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:

1 167,420,227
-1 -167,420,227

Now, we try dividing 167,420,227 by 3:

167,420,227 ÷ 3 = 55,806,742.3333

If the quotient is a whole number, then 3 and 55,806,742.3333 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:

1 167,420,227
-1 -167,420,227

Let's try dividing by 4:

167,420,227 ÷ 4 = 41,855,056.75

If the quotient is a whole number, then 4 and 41,855,056.75 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:

1 167,420,227
-1 167,420,227
Keep dividing by the next highest number until you cannot divide anymore.

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

113371314811,7032,6574,84734,54163,01198,309348,0671,278,0174,524,87112,878,479167,420,227
-1-13-37-131-481-1,703-2,657-4,847-34,541-63,011-98,309-348,067-1,278,017-4,524,871-12,878,479-167,420,227

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