Q: What are the factor combinations of the number 2,473,471?

 A:
Positive:   1 x 24734717 x 35335311 x 22486113 x 19026749 x 5047977 x 3212391 x 27181143 x 17297353 x 7007539 x 4589637 x 38831001 x 2471
Negative: -1 x -2473471-7 x -353353-11 x -224861-13 x -190267-49 x -50479-77 x -32123-91 x -27181-143 x -17297-353 x -7007-539 x -4589-637 x -3883-1001 x -2471


How do I find the factor combinations of the number 2,473,471?

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 2,473,471, 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 2,473,471
-1 -2,473,471

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 2,473,471.

Example:
1 x 2,473,471 = 2,473,471
and
-1 x -2,473,471 = 2,473,471
Notice both answers equal 2,473,471

With that explanation out of the way, let's continue. Next, we take the number 2,473,471 and divide it by 2:

2,473,471 ÷ 2 = 1,236,735.5

If the quotient is a whole number, then 2 and 1,236,735.5 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 2,473,471
-1 -2,473,471

Now, we try dividing 2,473,471 by 3:

2,473,471 ÷ 3 = 824,490.3333

If the quotient is a whole number, then 3 and 824,490.3333 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 2,473,471
-1 -2,473,471

Let's try dividing by 4:

2,473,471 ÷ 4 = 618,367.75

If the quotient is a whole number, then 4 and 618,367.75 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 2,473,471
-1 2,473,471
Keep dividing by the next highest number until you cannot divide anymore.

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

1711134977911433535396371,0012,4713,8834,5897,00717,29727,18132,12350,479190,267224,861353,3532,473,471
-1-7-11-13-49-77-91-143-353-539-637-1,001-2,471-3,883-4,589-7,007-17,297-27,181-32,123-50,479-190,267-224,861-353,353-2,473,471

More Examples

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