Q: What are the factor combinations of the number 375,071,767?

 A:
Positive:   1 x 3750717677 x 53581681127 x 2953321179 x 2095373889 x 4219031253 x 2993392357 x 15913116499 x 22733
Negative: -1 x -375071767-7 x -53581681-127 x -2953321-179 x -2095373-889 x -421903-1253 x -299339-2357 x -159131-16499 x -22733


How do I find the factor combinations of the number 375,071,767?

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 375,071,767, 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.

1 375,071,767
-1 -375,071,767

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 375,071,767.

Example:
1 x 375,071,767 = 375,071,767
and
-1 x -375,071,767 = 375,071,767
Notice both answers equal 375,071,767

With that explanation out of the way, let's continue. Next, we take the number 375,071,767 and divide it by 2:

375,071,767 ÷ 2 = 187,535,883.5

If the quotient is a whole number, then 2 and 187,535,883.5 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:

1 375,071,767
-1 -375,071,767

Now, we try dividing 375,071,767 by 3:

375,071,767 ÷ 3 = 125,023,922.3333

If the quotient is a whole number, then 3 and 125,023,922.3333 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:

1 375,071,767
-1 -375,071,767

Let's try dividing by 4:

375,071,767 ÷ 4 = 93,767,941.75

If the quotient is a whole number, then 4 and 93,767,941.75 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:

1 375,071,767
-1 375,071,767
Keep dividing by the next highest number until you cannot divide anymore.

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

171271798891,2532,35716,49922,733159,131299,339421,9032,095,3732,953,32153,581,681375,071,767
-1-7-127-179-889-1,253-2,357-16,499-22,733-159,131-299,339-421,903-2,095,373-2,953,321-53,581,681-375,071,767

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