Q: What are the prime factors of the number 43,363,890?

 A: 2, 3, 5, 19, 79, 107

Why are those the prime factors of the number 43,363,890?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 43,363,890

43,363,890
Factor Arrows
221,681,945
Factor Arrows
37,227,315
Factor Arrows
32,409,105
Factor Arrows
3803,035
Factor Arrows
5160,607
Factor Arrows
198,453
Factor Arrows
79107

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 5, 19, 79, 107

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 5 x 19 x 79 x 107 = 43,363,890

This can also be written as 21 x 33 x 51 x 191 x 791 x 1071 = 43,363,890

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 43,363,890:


Ask a Question