Q: What are the factor combinations of the number 167,065,045?

 A:
Positive:   1 x 1670650455 x 334130097 x 2386643531 x 538919535 x 4773287155 x 1077839217 x 769885961 x 1738451085 x 1539774805 x 347694967 x 336356727 x 24835
Negative: -1 x -167065045-5 x -33413009-7 x -23866435-31 x -5389195-35 x -4773287-155 x -1077839-217 x -769885-961 x -173845-1085 x -153977-4805 x -34769-4967 x -33635-6727 x -24835


How do I find the factor combinations of the number 167,065,045?

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 167,065,045, 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.

1 167,065,045
-1 -167,065,045

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 167,065,045.

Example:
1 x 167,065,045 = 167,065,045
and
-1 x -167,065,045 = 167,065,045
Notice both answers equal 167,065,045

With that explanation out of the way, let's continue. Next, we take the number 167,065,045 and divide it by 2:

167,065,045 ÷ 2 = 83,532,522.5

If the quotient is a whole number, then 2 and 83,532,522.5 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:

1 167,065,045
-1 -167,065,045

Now, we try dividing 167,065,045 by 3:

167,065,045 ÷ 3 = 55,688,348.3333

If the quotient is a whole number, then 3 and 55,688,348.3333 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:

1 167,065,045
-1 -167,065,045

Let's try dividing by 4:

167,065,045 ÷ 4 = 41,766,261.25

If the quotient is a whole number, then 4 and 41,766,261.25 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:

1 167,065,045
-1 167,065,045
Keep dividing by the next highest number until you cannot divide anymore.

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

15731351552179611,0854,8054,9676,72724,83533,63534,769153,977173,845769,8851,077,8394,773,2875,389,19523,866,43533,413,009167,065,045
-1-5-7-31-35-155-217-961-1,085-4,805-4,967-6,727-24,835-33,635-34,769-153,977-173,845-769,885-1,077,839-4,773,287-5,389,195-23,866,435-33,413,009-167,065,045

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