Q: What are the factor combinations of the number 74,438,971?

 A:
Positive:   1 x 7443897117 x 437876323 x 323647761 x 1220311391 x 1903811037 x 717831403 x 530573121 x 23851
Negative: -1 x -74438971-17 x -4378763-23 x -3236477-61 x -1220311-391 x -190381-1037 x -71783-1403 x -53057-3121 x -23851


How do I find the factor combinations of the number 74,438,971?

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 74,438,971, 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 74,438,971
-1 -74,438,971

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 74,438,971.

Example:
1 x 74,438,971 = 74,438,971
and
-1 x -74,438,971 = 74,438,971
Notice both answers equal 74,438,971

With that explanation out of the way, let's continue. Next, we take the number 74,438,971 and divide it by 2:

74,438,971 ÷ 2 = 37,219,485.5

If the quotient is a whole number, then 2 and 37,219,485.5 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 74,438,971
-1 -74,438,971

Now, we try dividing 74,438,971 by 3:

74,438,971 ÷ 3 = 24,812,990.3333

If the quotient is a whole number, then 3 and 24,812,990.3333 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 74,438,971
-1 -74,438,971

Let's try dividing by 4:

74,438,971 ÷ 4 = 18,609,742.75

If the quotient is a whole number, then 4 and 18,609,742.75 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 74,438,971
-1 74,438,971
Keep dividing by the next highest number until you cannot divide anymore.

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

11723613911,0371,4033,12123,85153,05771,783190,3811,220,3113,236,4774,378,76374,438,971
-1-17-23-61-391-1,037-1,403-3,121-23,851-53,057-71,783-190,381-1,220,311-3,236,477-4,378,763-74,438,971

More Examples

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