Q: What are the prime factors of the number 152,112,464?

 A: 2, 7, 17, 101, 113

Why are those the prime factors of the number 152,112,464?

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 152,112,464

152,112,464
Factor Arrows
276,056,232
Factor Arrows
238,028,116
Factor Arrows
219,014,058
Factor Arrows
29,507,029
Factor Arrows
71,358,147
Factor Arrows
7194,021
Factor Arrows
1711,413
Factor Arrows
101113

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, 7, 17, 101, 113

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 7 x 17 x 101 x 113 = 152,112,464

This can also be written as 24 x 72 x 171 x 1011 x 1131 = 152,112,464

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 152,112,464:


Ask a Question