Q: What are the factor combinations of the number 167,317,157?

 A:
Positive:   1 x 1673171577 x 2390245123 x 727465967 x 2497271161 x 1039237469 x 3567531541 x 10857710787 x 15511
Negative: -1 x -167317157-7 x -23902451-23 x -7274659-67 x -2497271-161 x -1039237-469 x -356753-1541 x -108577-10787 x -15511


How do I find the factor combinations of the number 167,317,157?

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 167,317,157, 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.

1 167,317,157
-1 -167,317,157

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 167,317,157.

Example:
1 x 167,317,157 = 167,317,157
and
-1 x -167,317,157 = 167,317,157
Notice both answers equal 167,317,157

With that explanation out of the way, let's continue. Next, we take the number 167,317,157 and divide it by 2:

167,317,157 ÷ 2 = 83,658,578.5

If the quotient is a whole number, then 2 and 83,658,578.5 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:

1 167,317,157
-1 -167,317,157

Now, we try dividing 167,317,157 by 3:

167,317,157 ÷ 3 = 55,772,385.6667

If the quotient is a whole number, then 3 and 55,772,385.6667 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:

1 167,317,157
-1 -167,317,157

Let's try dividing by 4:

167,317,157 ÷ 4 = 41,829,289.25

If the quotient is a whole number, then 4 and 41,829,289.25 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:

1 167,317,157
-1 167,317,157
Keep dividing by the next highest number until you cannot divide anymore.

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

1723671614691,54110,78715,511108,577356,7531,039,2372,497,2717,274,65923,902,451167,317,157
-1-7-23-67-161-469-1,541-10,787-15,511-108,577-356,753-1,039,237-2,497,271-7,274,659-23,902,451-167,317,157

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