Q: What are the factor combinations of the number 42,878,005?

 A:
Positive:   1 x 428780055 x 857560137 x 115886541 x 1045805185 x 231773205 x 2091611517 x 282655653 x 7585
Negative: -1 x -42878005-5 x -8575601-37 x -1158865-41 x -1045805-185 x -231773-205 x -209161-1517 x -28265-5653 x -7585


How do I find the factor combinations of the number 42,878,005?

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 42,878,005, 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 42,878,005
-1 -42,878,005

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 42,878,005.

Example:
1 x 42,878,005 = 42,878,005
and
-1 x -42,878,005 = 42,878,005
Notice both answers equal 42,878,005

With that explanation out of the way, let's continue. Next, we take the number 42,878,005 and divide it by 2:

42,878,005 ÷ 2 = 21,439,002.5

If the quotient is a whole number, then 2 and 21,439,002.5 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 42,878,005
-1 -42,878,005

Now, we try dividing 42,878,005 by 3:

42,878,005 ÷ 3 = 14,292,668.3333

If the quotient is a whole number, then 3 and 14,292,668.3333 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 42,878,005
-1 -42,878,005

Let's try dividing by 4:

42,878,005 ÷ 4 = 10,719,501.25

If the quotient is a whole number, then 4 and 10,719,501.25 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 42,878,005
-1 42,878,005
Keep dividing by the next highest number until you cannot divide anymore.

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

1537411852051,5175,6537,58528,265209,161231,7731,045,8051,158,8658,575,60142,878,005
-1-5-37-41-185-205-1,517-5,653-7,585-28,265-209,161-231,773-1,045,805-1,158,865-8,575,601-42,878,005

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